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Three Dimensional Geometry — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsThree Dimensional Geometry1 Mark
Question
Find the angle between the lines $\text{2x = 3y = – z and 6x = – y = – 4z.}$
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Answer

Writing standard form
$\frac{\text{x}}{3} =\frac{\text{y}}{2} = \frac{\text{z}}{-6}\ \text{and} \ {\frac{\text{x}}{2}} = \frac{\text{y}}{-12} = \frac{\text{z}}{-3}$
$\text{Finding } \theta = \frac{\pi}{2}$

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