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Mathematics 54 Online
OpenStudy (bloomlocke367):

help?

OpenStudy (bloomlocke367):

@freckles

OpenStudy (bloomlocke367):

for v=<2,-2> what's the graph of 2v?

OpenStudy (bloomlocke367):

@amistre64

OpenStudy (amistre64):

draw v twice as long ....

OpenStudy (anonymous):

When you multiply a vector by a scalar, just multiply the individual components by the scalar: \[\vec{v} = \langle x,y\rangle \Rightarrow a\vec{v} = \langle ax, ay\rangle\]

OpenStudy (bloomlocke367):

so it's <2,-6>? what does the graph look like?

OpenStudy (bloomlocke367):

@KevinOrr

OpenStudy (anonymous):

It's not \(\langle 2, -6 \rangle\); if you want to double \(\vec{v}\), you need to double *each of its components*.

OpenStudy (bloomlocke367):

what do you mean?

OpenStudy (bloomlocke367):

@KevinOrr

OpenStudy (anonymous):

\(2 \times \langle 2, -2 \rangle = \langle 2 \times 2, 2 \times -2 \rangle = \langle 4, -4 \rangle \)

OpenStudy (bloomlocke367):

the points are <2,-3> and I said <4,-6>

OpenStudy (bloomlocke367):

@KevinOrr

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