If a → and b → are two vectors such that a → · b → | a → | | b → | < 0 and | a → · b → | = | a → × b → | , then the angle between the vectors a → and b → is

Step-by-step solution

Given, | a → · b → | = | a → × b → | ⇒ a → b → cos θ = a → b → sin θ , where θ is the angle between vectors a and b . ⇒ cos θ = sin θ ⇒ θ = π 4 or 3 π 4 But, given that a → · b → | a → | | b → | < 0 ⇒ cos θ < 0 Hence θ = 3 π 4 or sec - 1 - 2 .