Magnitude and Direction of Scaled Vectors
Precalculus · Flashcards · Recall
PRECALCULUS · FLASHCARDS
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QUESTION
Choose the correct statement: if
0
<
∣
c
∣
<
1
0<|c|<1
0
<
∣
c
∣
<
1
, then
∥
c
v
⃗
∥
\|c\vec{v}\|
∥
c
v
∥
is what relative to
∥
v
⃗
∥
\|\vec{v}\|
∥
v
∥
?
QUESTION
What is the direction of
c
v
⃗
c\vec{v}
c
v
relative to
v
⃗
\vec{v}
v
when
c
>
0
c>0
c
>
0
and
v
⃗
≠
0
⃗
\vec{v}\neq\vec{0}
v
=
0
?
QUESTION
What is the direction of
c
v
⃗
c\vec{v}
c
v
relative to
v
⃗
\vec{v}
v
when
c
<
0
c<0
c
<
0
and
v
⃗
≠
0
⃗
\vec{v}\neq\vec{0}
v
=
0
?
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ANSWER
Against
v
⃗
\vec{v}
v
(opposite direction). Negative scalars reverse the vector's direction.
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