If the lines and are at right angles, then the value of k is

Engineering

Mathematics

theorem in space

Equation of Straight Line in 3D and Distance Of a Point From Line

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

–1

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If (ℓ₁m₁n₁) and (ℓ₂m₂n₂) are directions of two ⊥ lines then,

ℓ₁ℓ₂+m₁m₂+n₁n₂= 0k − 4 − 1 = 0k = 5