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Vector Algebra question

2021 · 17 Mar · Shift 2 · Q27

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 17 Mar · Shift 2 · Q27

Vector Algebra question

2021 · 17 Mar · Shift 2 · Q27

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let O be the origin. Let

\overrightarrow {OP} = x\widehat i + y\widehat j - \widehat k

and

\overrightarrow {OQ} = - \widehat i + 2\widehat j + 3x\widehat k

, x, y

\in

R, x > 0, be such that

\left| {\overrightarrow {PQ} } \right| = \sqrt {20}

and the vector

\overrightarrow {OP}

is perpendicular

\overrightarrow {OQ}

. If

\overrightarrow {OR}

=

3\widehat i + z\widehat j - 7\widehat k

, z

\in

R, is coplanar with

\overrightarrow {OP}

and

\overrightarrow {OQ}

, then the value of x2 + y2 + z2 is equal to :

A
2
B
9
C
7
D
1

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