Let the cosine of angle between the vectors and be such that and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let the cosine of angle between the vectors

\mathbf{p}

and

\mathbf{q}

\lambda

such that

2\mathbf{p} + \mathbf{q} = \hat{i} + \hat{j}

and

\mathbf{p} + 2\mathbf{q} = \hat{i} - \hat{j}

, then

\lambda

is equal to (1)

\frac{5}{9}

(2)

-\frac{4}{5}

(3)

\frac{3}{9}

(4)

\frac{7}{9}