MHT CET · Maths · Three Dimensional Geometry
The direction cosines of the line \(x-y+2 z=5\) and \(3 x+y+z=6\) are
- A \(\frac{-3}{5 \sqrt{2}}, \frac{5}{5 \sqrt{2}}, \frac{4}{5 \sqrt{2}}\)
- B \(\frac{3}{5 \sqrt{2}}, \frac{-5}{5 \sqrt{2}}, \frac{4}{5 \sqrt{2}}\)
- C \(\frac{3}{5 \sqrt{2}}, \frac{5}{5 \sqrt{2}}, \frac{4}{5 \sqrt{2}}\)
- D \(\frac{3}{5 \sqrt{2}}, \frac{5}{5 \sqrt{2}}, \frac{-4}{5 \sqrt{2}}\)
Answer & Solution
Correct Answer
(A) \(\frac{-3}{5 \sqrt{2}}, \frac{5}{5 \sqrt{2}}, \frac{4}{5 \sqrt{2}}\)
Step-by-step Solution
Detailed explanation
\(\vec{n_1} = \langle 1, -1, 2 \rangle\) \(\vec{n_2} = \langle 3, 1, 1 \rangle\)
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