AP EAMCET · Maths · Three Dimensional Geometry
If the direction ratios of the lines \(L_1\) and \(L_2\) are \(2,-1,1\) and \(3,-3,4\) respectively, then the direction cosines of a line that is perpendicular to both \(L_1\) and \(L_2\) are
- A \(\pm \frac{2}{\sqrt{6}}, \pm \frac{1}{\sqrt{6}}, \pm \frac{1}{\sqrt{6}}\)
- B \(\pm \frac{1}{\sqrt{35}}, \pm \frac{5}{\sqrt{35}}, \pm \frac{3}{\sqrt{35}}\)
- C \(\pm \frac{3}{\sqrt{34}}, \pm \frac{3}{\sqrt{34}}, \pm \frac{4}{\sqrt{34}}\)
- D \(\pm \frac{1}{\sqrt{14}}, \pm \frac{2}{\sqrt{14}}, \pm \frac{3}{\sqrt{14}}\)
Answer & Solution
Correct Answer
(B) \(\pm \frac{1}{\sqrt{35}}, \pm \frac{5}{\sqrt{35}}, \pm \frac{3}{\sqrt{35}}\)
Step-by-step Solution
Detailed explanation
Let direction cosines of line that is perpendicular to both \(L_1\) and \(L_2\) are \(l, m, n\), then…
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