Answer
$<3, -2, -15>$
$3i - 2j - 15k$
Work Step by Step
The question asks to find the vector $-2u + 3v$ in component form and in terms of i, j, and k
Given $u = <3, 1, 0>$ and $v = <3, 0, -5>$
$-2u + 3v = -2<3, 1, 0> + 3<3, 0, -5>$
$ = <3, -2, -15>$
You can convert component form directly into the terms of i, j, and k:
$<3, -2, -15> = 3i - 2j - 15k$
