Show Scalar Multiplication Visually
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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QUESTION
Which option describes
1
3
v
⃗
\frac{1}{3}\vec{v}
3
1
v
geometrically for nonzero
v
⃗
\vec{v}
v
?
QUESTION
Identify the scalar multiple: Compute
−
2
⟨
4
,
−
3
⟩
-2\langle 4, -3 \rangle
−
2
⟨
4
,
−
3
⟩
component-wise.
QUESTION
Identify the scalar
c
c
c
if
c
(
6
,
9
)
=
(
2
,
3
)
c(6,9)=(2,3)
c
(
6
,
9
)
=
(
2
,
3
)
.
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ANSWER
c
=
1
3
c=\frac{1}{3}
c
=
3
1
. Since
1
3
(
6
)
=
2
\frac{1}{3}(6)=2
3
1
(
6
)
=
2
and
1
3
(
9
)
=
3
\frac{1}{3}(9)=3
3
1
(
9
)
=
3
,
c
=
1
3
c=\frac{1}{3}
c
=
3
1
.
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