Let and . What is…

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

Let

\vec{a}=2\mathbf{i}-\mathbf{j}+3\mathbf{k}

and

\vec{b}=-\mathbf{i}+4\mathbf{j}-\mathbf{k}

. What is

|\vec{a}+\vec{b}|

? (a)

\sqrt{26}

(b)

\sqrt{50}

(c)

\sqrt{14}

(d)

\sqrt{6}