COMEDK · Maths · 34. Three Dimensional Geometry
The angle between the lines \(2 x=3 y=-z\) and \(6 x=-y=-4 z\) is
- A \(30^{\circ}\)
- B \(45^{\circ}\)
- C \(90^{\circ}\)
- D \(0^{\circ}\)
Answer & Solution
Correct Answer
(C) \(90^{\circ}\)
Step-by-step Solution
Detailed explanation
The given equations of the lines are \(2x = 3y = -z\) and \(6x = -y = -4z\). Rewrite the first line in standard symmetric form \(\dfrac{x}{a_1} = \dfrac{y}{b_1} = \dfrac{z}{c_1}\). Dividing by the least common multiple of the coefficients (which is 6), we get…
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