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Vector Algebra question

2024 · 27 Jan · Shift 1 · Q48

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JEE Main
Mathematics
Vector Algebra
2024 · 27 Jan · Shift 1 · Q48

Vector Algebra question

2024 · 27 Jan · Shift 1 · Q48

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow{\mathrm{a}}=\hat{i}+2 \hat{j}+\hat{k}, \overrightarrow{\mathrm{b}}=3(\hat{i}-\hat{j}+\hat{k})

. Let

\overrightarrow{\mathrm{c}}

be the vector such that

\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{c}}=\overrightarrow{\mathrm{b}}

and

\vec{a} \cdot \vec{c}=3

. Then

\vec{a} \cdot((\vec{c} \times \vec{b})-\vec{b}-\vec{c})

is equal to :

A
32
B
36
C
24
D
20

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