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Vector Algebra question

2023 · 29 Jan · Shift 2 · Q27

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JEE Main
Mathematics
Vector Algebra
2023 · 29 Jan · Shift 2 · Q27

Vector Algebra question

2023 · 29 Jan · Shift 2 · Q27

JEE MainMathematicsVector AlgebraMCQ+4 / −1

If

\overrightarrow a = \widehat i + 2\widehat k,\overrightarrow b = \widehat i + \widehat j + \widehat k,\overrightarrow c = 7\widehat i - 3\widehat j + 4\widehat k,\overrightarrow r \times \overrightarrow b + \overrightarrow b \times \overrightarrow c = \overrightarrow 0

and

\overrightarrow r \,.\,\overrightarrow a = 0

. Then

\overrightarrow r \,.\,\overrightarrow c

is equal to :

A
36
B
30
C
34
D
32

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