Use the diagram to express each vector as a linear combination of a and b.

a) OC

b) OD

c) OE

d) OF

Please any help on how to begin this is very much appreciated.

Thanks in advance

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- Jan 19th 2011, 08:10 PMadvancedfunctions2010Linear Combination of a and b
Use the diagram to express each vector as a linear combination of a and b.

a) OC

b) OD

c) OE

d) OF

Please any help on how to begin this is very much appreciated.

Thanks in advance - Jan 19th 2011, 08:12 PMdwsmith
- Jan 19th 2011, 09:54 PMadvancedfunctions2010
OC = 2u + 4v

OD = -3a + 2b

OE = -2a - 2b

OF = -4a - 2b - Jan 20th 2011, 12:28 PMdwsmith
- Jan 21st 2011, 07:29 AMHallsofIvy
I suspect that advancedfunctions2010 "eye-balled" the horizontal and vertical multiples of a and b and so might be completely wrong.

However, that is the basic idea. (You want "a" and "b", not "u" and "v" for the first one, of course.) - Jan 21st 2011, 11:17 AMadvancedfunctions2010
Sorry, it was on a grid that I didnt draw. Silly of me lol.

Thanks all tho