Question

Find the angle between the line x+1/2=3y+5/9=3-z/-6 and the plane 10x + 2y - 11z = 3.

Answer 1

Given line can be rearranged to get

x+1/2=3y+5/9=3-z/-6

Its direction ratios are 2, 3, 6.
Direction ratios of normal to the plane 10x + 2y - 11z = 3 are 10, 2, – 11
Angle between the line and plane