Question

A line passes through the point with position vector 2i - 3j + 4k and makes angles 60°, 120° and 45° with x, y and z-axis respectively. Find the equation of the line in the Cartesian form. 

Answer 1

As the line makes angles 60°, 120° and 45° with x, y and z-axis respectively so, its d.c.’s are cos60°, cos120°, cos 45° i.e., 1/2,-1/2,1/√2.

So equation of line through the point with the position vector 2i - 3j + 4k, is