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Vector Algebra question

2024 · 31 Jan · Shift 1 · Q39

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JEE Main
Mathematics
Vector Algebra
2024 · 31 Jan · Shift 1 · Q39

Vector Algebra question

2024 · 31 Jan · Shift 1 · Q39

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}=3 \hat{i}+\hat{j}-2 \hat{k}, \vec{b}=4 \hat{i}+\hat{j}+7 \hat{k}

and

\vec{c}=\hat{i}-3 \hat{j}+4 \hat{k}

be three vectors. If a vectors

\vec{p}

satisfies

\vec{p} \times \vec{b}=\vec{c} \times \vec{b}

and

\vec{p} \cdot \vec{a}=0

, then

\vec{p} \cdot(\hat{i}-\hat{j}-\hat{k})

is equal to

A
24
B
32
C
36
D
28

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