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
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