Let be such that ,

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

Problem

Let

\mathbf{u},\mathbf{v},\mathbf{w}

be such that

|\mathbf{u}|=1

,

|\mathbf{v}|=2

, and

|\mathbf{w}|=3

. If the projection of

\mathbf{v}

along

\mathbf{u}

equals that of

\mathbf{w}

along

\mathbf{u}

, and

\mathbf{v}

and

\mathbf{w}

are perpendicular, then

|\mathbf{u}-\mathbf{v}+\mathbf{w}|

is equal to (1)

2

(2)

\sqrt{7}

(3)

\sqrt{14}

(4)

14

Related theory

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