# Linear Combination of a and b

• Jan 19th 2011, 07:10 PM
Linear 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.
• Jan 19th 2011, 07:12 PM
dwsmith
Quote:

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.

• Jan 19th 2011, 08:54 PM
OC = 2u + 4v
OD = -3a + 2b
OE = -2a - 2b
OF = -4a - 2b
• Jan 20th 2011, 11:28 AM
dwsmith
Quote:

OC = 2u + 4v
OD = -3a + 2b
OE = -2a - 2b
OF = -4a - 2b

OF the a vector is positive. However, since you have no numerical values in your graph, I don't know where you came up with the scalar values.
• Jan 21st 2011, 06:29 AM
HallsofIvy
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, 10:17 AM