JEE MATHEMATICS MCQ: DOT PRODUCT OF VECTORS

1 Easy

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Application +4 | -1

Let

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

be such that

|\mathbf{u}|=1,|\mathbf{v}|=2,|\mathbf{w}|=3

. If the projection

\mathbf{v}

along

\mathbf{u}

is equal to that of

\mathbf{w}

along

\mathbf{u}

and

\mathbf{v}, \mathbf{w}

are perpendicular to each other, then

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

equal to

View answer and explanation

Correct option: C

\sqrt{14}

Option C (

\sqrt{14}

) is correct because using the given conditions and the formula for the magnitude of the sum of vectors, we find

|\mathbf{u}-\mathbf{v}+\mathbf{w}| = \sqrt{14}

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