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

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

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Answer 1 · 2018-02-28T20:38:46

#<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>#

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

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