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Vector Algebra question

2024 · 31 Jan · Shift 1 · Q42

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JEE Main
Mathematics
Vector Algebra
2024 · 31 Jan · Shift 1 · Q42

Vector Algebra question

2024 · 31 Jan · Shift 1 · Q42

JEE MainMathematicsVector AlgebraMCQ+4 / −1

The distance of the point

Q(0,2,-2)

form the line passing through the point

P(5,-4, 3)

and perpendicular to the lines

\vec{r}=(-3 \hat{i}+2 \hat{k})+\lambda(2 \hat{i}+3 \hat{j}+5 \hat{k}), \lambda \in \mathbb{R}

and

\vec{r}=(\hat{i}-2 \hat{j}+\hat{k})+\mu(-\hat{i}+3 \hat{j}+2 \hat{k}), \mu \in \mathbb{R}

is :

A
$\sqrt{74}$
B
$\sqrt{86}$
C
$\sqrt{54}$
D
$\sqrt{20}$

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