Answer
$i - 2k$
$i + 2j + 2k$
$3i + 3.5j + k$
Work Step by Step
The question asks for the vectors $ u + v$, $u - v$, and $3u - 0.5 v$
Given $u = i + j$ and $v = $
$u = <1, 1, 0>$ and $v = <0, -1, -2>$
$u + v = <1 + 0, 1 + (-1), 0 + (-2)> = <1, 0, -2> = i - 2k$
$u - v = <1 - 0, 1 - (-1), 0 - (-2)> = <1, 2, 2> = i + 2j + 2k$
$3u - 0.5v = 3<1, 1, 0> - 0.5 <0, -1, -2>$
$= <3 - 0, 3 - (-0.5), 0 - (-1)> = <3, 3.5, 1> = 3i + 3.5j + k$
