Given, two vectors are and , the unit vector coplanar with the two vectors and…

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

Problem

Given, two vectors are

\hat{i} - \hat{j}

and

\hat{i} + 2\hat{j}

, the unit vector coplanar with the two vectors and perpendicular to first is [AIEEE 2002] (1)

\frac{1}{\sqrt{2}}(\hat{i} + \hat{j})

(2)

\frac{1}{\sqrt{5}}(2\hat{i} + \hat{j})

(3)

\pm \frac{1}{\sqrt{2}}(\hat{i} + \hat{j})

(4) None of these