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Vector Algebra question

2020 · 7 Jan · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2020 · 7 Jan · Shift 1 · Q26

Vector Algebra question

2020 · 7 Jan · Shift 1 · Q26

JEE MainMathematicsVector AlgebraMCQ+4 / −1

A vector

\overrightarrow a = \alpha \widehat i + 2\widehat j + \beta \widehat k\left( {\alpha ,\beta \in R} \right)

lies in the plane of the vectors,

\overrightarrow b = \widehat i + \widehat j

and

\overrightarrow c = \widehat i - \widehat j + 4\widehat k

. If

\overrightarrow a

bisects the angle between

\overrightarrow b

and

\overrightarrow c

, then:

A
$\overrightarrow a .\widehat i + 3 = 0$
B
$\overrightarrow a .\widehat k - 4 = 0$
C
$\overrightarrow a .\widehat i + 1 = 0$
D
$\overrightarrow a .\widehat k + 2 = 0$

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