Question

For the following vectors, find 5u - 2(v - W): u = <5, -1>, v = <-2, 1>, w = <-1, 0>0 <-7, 13><27, -7>0 <17, -10><13, 5>

Answer 1

Given:

`\begin{gathered} u=(5,-1) \\ v=(-2,1) \\ w=(-1,0) \end{gathered}`

To solve for 5u-2(v-w)

`\begin{gathered} 5u-2(v-w) \\ 5(5,-1)-2((-2,1)-(-1,0)) \\ (25,-5)-2(-2--1,1-0) \\ (25,-5)-2(-2+1,1) \\ (25,-5)-2(-1,1) \\ (25,-5)-(-2,2) \\ (25--2,-5-2) \\ (25+2,-7) \\ (27,-7) \end{gathered}`