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Vector Algebra question

2023 · 31 Jan · Shift 2 · Q23

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2023 · 31 Jan · Shift 2 · Q23

Vector Algebra question

2023 · 31 Jan · Shift 2 · Q23

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

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

and

\vec{c}=5 \hat{i}-3 \hat{j}+3 \hat{k}

be three vectors. If

\vec{r}

is a vector such that,

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

and

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

, then

25|\vec{r}|^{2}

is equal to :

A
336
B
449
C
339
D
560

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