Magnitude and Direction of Scaled Vectors
Precalculus · Flashcards · Application
PRECALCULUS · FLASHCARDS
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QUESTION
If
∥
c
v
∥
=
24
\|c\mathbf{v}\|=24
∥
c
v
∥
=
24
and
∥
v
∥
=
6
\|\mathbf{v}\|=6
∥
v
∥
=
6
, what is
∣
c
∣
|c|
∣
c
∣
?
QUESTION
Find
∥
1
2
v
∥
\|\frac{1}{2}\mathbf{v}\|
∥
2
1
v
∥
if
∥
v
∥
=
18
\|\mathbf{v}\|=18
∥
v
∥
=
18
.
QUESTION
Find
∥
3
v
⃗
∥
\|3\vec{v}\|
∥3
v
∥
if
∥
v
⃗
∥
=
5
2
\|\vec{v}\|=\frac{5}{2}
∥
v
∥
=
2
5
.
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ANSWER
∥
3
v
⃗
∥
=
15
2
\|3\vec{v}\|=\frac{15}{2}
∥3
v
∥
=
2
15
. Use
∥
c
v
⃗
∥
=
∣
c
∣
∥
v
⃗
∥
=
3
⋅
5
2
\|c\vec{v}\|=|c|\|\vec{v}\|=3\cdot\frac{5}{2}
∥
c
v
∥
=
∣
c
∣∥
v
∥
=
3
⋅
2
5
.
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