Answer:
w-2u-v
Step-by-step explanation:
Given are three vectors u, v and w.
In R^2 we treat first element as x coordinate and 2nd element as y coordinate.
Thus we mark (1,2) in the I quadrant, (-3,4) in II quadrant and (5,0) on positive x axis 5 units form the origin.
b) [tex]w=au+bv[/tex]
We have to find the values of a and b
[tex](5,0) = a(1,2)+b(-3,4)[/tex]]
Equate the corresponding terms
[tex]5=a-3b\\0=2a+4b[/tex]
Divide II equation by 2 to get
[tex]0=a+2b[/tex]
Eliminate a
-5 = 5b: b=-1
a=-2
Hence
w = 2u-v
