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Vector Algebra question

2020 · 8 Jan · Shift 2 · Q36

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2020 · 8 Jan · Shift 2 · Q36

Vector Algebra question

2020 · 8 Jan · Shift 2 · Q36

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a = \widehat i - 2\widehat j + \widehat k

and

\overrightarrow b = \widehat i - \widehat j + \widehat k

be two vectors. If

\overrightarrow c

is a vector such that

\overrightarrow b \times \overrightarrow c = \overrightarrow b \times \overrightarrow a

and

\overrightarrow c .\overrightarrow a = 0

, then

\overrightarrow c .\overrightarrow b

is equal to

A
$- {1 \over 2}$
B
$- {3 \over 2}$
C
${1 \over 2}$
D
-1

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