Precalculus : Find the Norm of a Vector

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #1 : Find The Norm Of A Vector

Find the norm of the vector .

Possible Answers:

Correct answer:

Explanation:

We find the norm of a vector by finding the sum of each element squared and then taking the square root.

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Example Question #2 : Find The Norm Of A Vector

Find the norm of the vector .

Possible Answers:

Correct answer:

Explanation:

We find the norm of a vector by finding the sum of each component squared and then taking the square root of that sum.

Example Question #1 : Find The Norm Of A Vector

Find the norm of the vector: 

Possible Answers:

Correct answer:

Explanation:

The norm of a vector is also known as the length of the vector. The norm is given by the formula: 

.

Here, we have

,

the correct answer.

Example Question #4 : Find The Norm Of A Vector

Find the norm of vector .

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the norm, or the length the vector.

Substitute the known values of the vector and solve.

Example Question #5 : Find The Norm Of A Vector

Find the norm (magnitude) of the following vector:

Possible Answers:

Correct answer:

Explanation:

Use the following equation to find the magnitude of a vector:

In this case we have:

So plug in our values:

So:

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