Find the angle between the line and the plane 10x + 2y - 11z - 3 = 0.

Question

Question

Answer 1

Concept:

If θ is the angle between the line and the plane a2 x + b2 y + c2 z + d = 0 then

Calculation:

Given: Equation of line is and equation of plane is 10x + 2y - 11z - 3 = 0

As we know that the angle between the line and the plane a2 x + b2 y + c2 z + d = 0 is given by:

Here, a1 = 2, b1 = 3, c1 = 6, a2 = 10, b2 = 2 and c2 = - 11.

⇒ a1 ⋅ a2 + b1 ⋅ b2 + c1 ⋅ c2 = 20 + 6 - 66 = - 40

Hence, option A is the correct answer.