For the vector and :

MATHEMATICS · Multi-part · A Level · Mathematics · Vectors · Vectors

Problem

For the vector

\mathbf{p}=\langle k,\,2k,\,1\rangle

and

\mathbf{q}=\langle 3,\,-1,\,4\rangle

: (i) Find the value of

k

for which

\mathbf{p}

is perpendicular to

\mathbf{q}

. (ii) Using this value of

k

, calculate

|\mathbf{p}|