If the lines \frac{x - 0}{1} = \frac{y + 1}{2} = \frac{z - 1}{- 1} and \frac{x + 1}{k} = \frac{y - 3}{- 2} = \frac{z - 2}{1} are at right angles, then the value of k is

Engineering

Mathematics

Line of Greatest Slope

Question

If the lines

\frac{x - 0}{1} = \frac{y + 1}{2} = \frac{z - 1}{- 1}

and

\frac{x + 1}{k} = \frac{y - 3}{- 2} = \frac{z - 2}{1}

are at right angles, then the value of k is

5

0

3

- 1

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(l_{1} m_{1} n_{1})

and

(l_{2} m_{2} n_{2})

are directions of two

⊥

lines then,

l_{1} l_{2} + m_{1} m_{2} + n_{1} n_{2} = 0 k - 4 - 1 = 0 k = 5

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