How do you find u=0.75v+0.25w given v=<4,-3,5>, w=<2,6,-1> and z=<3,0,4>?

1 Answer
Feb 28, 2018

<3.5,-0.75,3.5>

Explanation:

0.75v = 0.75<4,-3,5> = <3,-2.25,3.75>
0.25w = 0.25<2,6,-1> = <0.5,1.5,-0.25>
0.75v + 0.25w = <3,-2.25,3.75>+<0.5,1.5,-0.25>
0.75v + 0.25w = <3.5,-0.75,3.5>