If and are such that is perpendicular to

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

10. If

\vec{a}=2 \hat{i}+2 \hat{j}+3 \hat{k}, \vec{b}=-\hat{i}+2 \hat{j}+\hat{k}

and

\vec{c}=3 \hat{i}+\hat{j}

are such that

\vec{a}+\lambda \vec{b}

is perpendicular to

\vec{c}

, then find the value of

\lambda

.

Related theory

Browse the problem library