Add Vectors End-to-End, Component-Wise, and by Parallelogram Rule: CCSS.Math.Content.HSN-VM.B.4a - Common Core: High School - Number and Quantity
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If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above
If
, and
, find
.
If , and
, find
.
This problem is asking us to add vectors
, and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So



Below is a visual representation of what we just did.

This problem is asking us to add vectors , and
. To add vectors together, we need to sum up like components together. This means that we sum up the
, and the
.
So
Below is a visual representation of what we just did.
Compare your answer with the correct one above