How do you find #u=0.75v+0.25w# given v=<4,-3,5>, w=<2,6,-1> and z=<3,0,4>? Precalculus Vectors in the Plane Vector Operations 1 Answer Tessalsifi 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># Answer link Related questions Question #b4ef9 What is meant by a component of a vector? How do I find the vertical component of a vector? How do i find the horizontal component of a vector? Is vector addition commutative? What happens when I multiply a vector by itself? What is the definition of vector addition? How do I do vector subtraction? What is a velocity vector? How can the law of cosines be used to find the magnitude of a resultant? See all questions in Vector Operations Impact of this question 1758 views around the world You can reuse this answer Creative Commons License