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Vector Algebra question

2021 · 26 Feb · Shift 2 · Q38

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JEE Main
Mathematics
Vector Algebra
2021 · 26 Feb · Shift 2 · Q38

Vector Algebra question

2021 · 26 Feb · Shift 2 · Q38

JEE MainMathematicsVector AlgebraMCQ+4 / −1

If vectors

\overrightarrow {{a_1}} = x\widehat i - \widehat j + \widehat k

and

\overrightarrow {{a_2}} = \widehat i + y\widehat j + z\widehat k

are collinear, then a possible unit vector parallel to the vector

x\widehat i + y\widehat j + z\widehat k

is :

A
${1 \over {\sqrt 3 }}\left( {\widehat i - \widehat j + \widehat k} \right)$
B
${1 \over {\sqrt 2 }}\left( { - \widehat j + \widehat k} \right)$
C
${1 \over {\sqrt 2 }}\left( {\widehat i - \widehat j} \right)$
D
${1 \over {\sqrt 3 }}\left( {\widehat i + \widehat j - \widehat k} \right)$

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