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Let A be a point on the line {{{r}}}={({1}-{3})}{{i}}+{(-{1})}

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Let A be a point on the line $r = (1 - 3 μ) \hat{i} + (μ - 1) \hat{j} + (2 + 5 μ) \hat{k}$ and $B (3, 2, 6)$ be a point in the space. Then the value of $μ$ for which the vector $A B$ is parallel to the plane $x - 4 y + 3 z = 1$ is: (a) $\frac{1}{8}$ (b) $\frac{1}{2}$ (c) $\frac{1}{4}$ (d) $- \frac{1}{4}$

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Noah Discussed

Let A be a point on the line

r = (1 - 3 μ) \hat{i} + (μ - 1) \hat{j} + (2 + 5 μ) \hat{k}

and

B (3, 2, 6)

be a point in the space. Then the value of

μ

for which the vector

A B

is parallel to the plane

x - 4 y + 3 z = 1

is: (a)

\frac{1}{8}

(b)

\frac{1}{2}

(c)

\frac{1}{4}

(d)

- \frac{1}{4}

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Question Text	Let A be a point on the line $r = (1 - 3 μ) \hat{i} + (μ - 1) \hat{j} + (2 + 5 μ) \hat{k}$ and $B (3, 2, 6)$ be a point in the space. Then the value of $μ$ for which the vector $A B$ is parallel to the plane $x - 4 y + 3 z = 1$ is: (a) $\frac{1}{8}$ (b) $\frac{1}{2}$ (c) $\frac{1}{4}$ (d) $- \frac{1}{4}$
Answer Type	Video solution: 1
Upvotes	150