Question

Let vector A be vector parallel to line of intersection of planes P₁ and P₂ through origin. P₁ is parallel to the vectors 2j + 3k and 4j - 3k and P₂ is parallel to j - k and 3i + 3j, then the angle between vector A and 2i + j - 2k is

(a) π/2

(b) π/4

(c) π/6

(d) 3π/4

Answer 1

Correct option: (b, d)

Explanation:

Let vector AO be parallel to line of intersection of planes P₁ and P₂ through origin

Normal to plane p₁ is

Hence, (b) and (d) are correct answers.