Question

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

Answer 1

`<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>`