Let and . The magnitude of a coplanar vector such that is given…

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

Problem

Let

\vec{A} = (\hat{i} + \hat{j})

and

\vec{B} = (\hat{i} - \hat{j})

. The magnitude of a coplanar vector

\vec{C}

such that

\vec{A} \cdot \vec{C} = \vec{B} \cdot \vec{C} = \vec{A} \cdot \vec{B}

is given by (1)

\sqrt{\frac{5}{9}}

(2)

\sqrt{\frac{10}{9}}

(3)

\sqrt{\frac{20}{9}}

(4)

\sqrt{\frac{9}{12}}