# RBSE Solutions for Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.3

## Rajasthan Board RBSE Class 12 Maths Chapter 14 Three Dimensional Geometry Ex 14.3

Question 1.
Find the angle between the lines

Solution:

Question 2.
Find the angle between the lines

Solution:

Question 3.
Show that the line passes through the points (1,-1,2) and (3,4,-2) is perpendicular to the line passes through the points (0, 3, 2) and (3, 5, 6).
Solution:
The equation of line passing through points (1,-1,2) and (3, 4,-2) is

Question 4.
Find k, if lines $$\frac { x-1 }{ -3 }$$ = $$\frac { y-2 }{ 2k }$$ = $$\frac { z-3 }{ 2 }$$ and $$\frac { x-1 }{ 3k }$$ = $$\frac { y-1 }{ 1 }$$ = $$\frac { z-6 }{ -5 }$$ are perpendicular to each other.
Solution:

Question 5.
Find the vector equation of a line passing through point (1,2,- 4) and perpendicular to the both lines

Solution:

Question 6.
Find the cartesian equation of a line that passes through point (- 2, 4, -5) and is parallel to

Solution:
Let Sine passing through (x1, y1, z1) whose dc’s are a, b and c is