state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematics Three Dimensional Geometry Direction ratios and Direction cosines
Find the direction cosines of the sides of the triangle whose vertices are (3, 5, -4), (-1, 1, 2) and (-5, -5, -2)
1
<\(\frac{4}{\sqrt{42}}, \frac{5}{\sqrt{42}}, \frac{-1}{\sqrt{42}}\)>
2
<\(\frac{4}{\sqrt{22}}, \frac{5}{\sqrt{22}}, \frac{-1}{\sqrt{22}}\)>
3
<\(\frac{5}{\sqrt{42}}, \frac{-1}{\sqrt{42}}, \frac{-3}{\sqrt{42}}\)>
4
<\(\frac{4}{\sqrt{12}}, \frac{5}{\sqrt{42}}, \frac{-1}{\sqrt{42}}\)>
5
Question Not Attempted