, , , and . If and the length of the projection of on is , find…

MATHEMATICS · Numerical · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

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

,

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

,

\vec{c}=\lambda\hat{i}+\hat{j}+\hat{k}

, and

\vec{v}=\vec{a}\times\vec{b}

. If

\vec{v}\cdot\vec{c}=11

and the length of the projection of

\vec{b}

on

\vec{c}

is

P

, find

9P^2

.

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