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

1 Answer
Jim G.
Dec 10, 2017

#ulu=<50/3,-13,71/3>#

Explanation:

#ulu=3<4,-3,5> -2/3<2,6,-1>+2<3,0,4>#

#"multiply each of the vector components by the scalar"#

#=< 12,-9,15>+< -4/3,-4,2/3>+< 6,0,8>#

#"add the corresponding components in each vector"#

#=<50/3,-13,71/3>#

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