Use the diagram to express each of the given vectors in terms of OP and OQ.

a) OR

b) OU

c) OW

d) OS

e) OA

f) OY

Please any help on how to begin this is really appreciated.

Thanks in advance

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- Jan 19th 2011, 02:21 PMadvancedfunctions2010Scalar Multiplication
Use the diagram to express each of the given vectors in terms of OP and OQ.

a) OR

b) OU

c) OW

d) OS

e) OA

f) OY

Please any help on how to begin this is really appreciated.

Thanks in advance - Jan 19th 2011, 02:35 PMpickslides
- Jan 19th 2011, 02:57 PMadvancedfunctions2010
Yes I think so!

So then:

OU = OP + PU

OU = OP + 2OQ

But then?

OW = OP + 2OP? - Jan 19th 2011, 03:19 PMpickslides
- Jan 22nd 2011, 05:23 AMHallsofIvy
Looking at your picture, I see that OR goes down exactly as much as OP and to the right

**half**as much as OQ. That tells me that OR= OP+ (1/2)OQ.

I see that OS goes down as far as OP and to the right as far as OQ: OS= OP+ OQ.

I see that OA and OW both extend down twice as far as OP so both will require "2OP". OA extends as far to the right as OQ while OW extends to the right 3/2 as far as OQ.

OY extends downward**three**times as far as OP and to the right exactly as far as OQ. OY= what?