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furqannoor
Dec 8, 2009, 07:42 PM
Given vectors |u|=20, |v|=15, |x|=6,
A) Write vector x as linear combination of vector u and vector v
^ ^
B) Express vector x as a linear combination of the unit vectors u and v

furqannoor
Dec 8, 2009, 07:46 PM
I have solved it this way but not sure
x= -au - bv
20a/sin 50=6/sin 65=15b/sin 65
by solving this we get
a=0.25 and b=0.47
x=-0.25u - 0.47v

I could go only this so far plzz HELP!!

galactus
Dec 9, 2009, 01:06 PM
Unit vectors have length 1. What are these vectors you have posted? Are these the norms? Just making sure what you're getting at.

\frac{1}{20}\cdot 116+\frac{1}{15}\cdot 3=6