The vectors and are the sides of a

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

Problem

The vectors

\mathbf{AB} = 3\hat{i} + 4\hat{k}

and

\mathbf{AC} = 5\hat{i} - 2\hat{j} + 4\hat{k}

are the sides of a

\Delta ABC

. The length of the median through

A

is (1)

\sqrt{18}

(2)

\sqrt{72}

(3)

\sqrt{33}

(4)

\sqrt{288}