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 [latex]\frac { x-1 }{ -3 } [/latex] = [latex]\frac { y-2 }{ 2k } [/latex] = [latex]\frac { z-3 }{ 2 } [/latex] and [latex]\frac { x-1 }{ 3k } [/latex] = [latex]\frac { y-1 }{ 1 } [/latex] = [latex]\frac { z-6 }{ -5 } [/latex] 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

RBSE Solutions for Class 12 Maths