Question

V ⃗ = <-7,2,3> and w⃗ = <4,-3,5>. Find 1/2 ( v⃗ +4w⃗ )

- <-2. 5,-0. 5,4>
-<9,-10,-17>
-<4. 5,-5,11. 5>
-<8,-6,-10>

Answer 1

`\overrightarrow{V}= < -7,2,3 > \hspace{5em}\overrightarrow{W}= < 4,-3,5 > \\\\[-0.35em] ~\dotfill\\\\ 4\overrightarrow{W}\implies 4 < 4,-3,5 > \implies < 16,-12,20 > \\\\\\ \overrightarrow{V}+4\overrightarrow{W}\implies \begin{array}{ccccllll} &-7&2&3\\ +&16&-12&20\\\cline{1-4} &9&-10&23 \end{array} \\\\[-0.35em] ~\dotfill\\\\ (1)/(2)\left( \overrightarrow{V}+4\overrightarrow{W} \right)\implies (1)/(2) < 9,-10,23 > \implies {\Large \begin{array}{llll} < 4.5~~,~~-5~~,~~11.5 > \end{array}}`