If a → = 2 i ^ − 3 j ^ + 4 k ^ ,   a → ⋅ b → = 2 and a → × b →   = i ^ + 2 j ^ + k ^ , then b → is equal to

Step-by-step solution

a → × b → = i ^ + 2 j ^ + k ^ Taking cross product with a → on both the sides, we get, a → × b → × a → = i ^ + 2 j ^ + k ^ × a → ⇒ a → ⋅ a → b → − b → ⋅ a → a → = i ^ j ^ k ^ 1 2 1 2 − 3 4 ⇒ 29 b → - 2 a → = i ^ 11 - j ^ 2 + k ^ - 7 ⇒ 29 b → = 15 i ^ - 8 j ^ + k ^ ⇒ b → = 1 29 15 i ^ - 8 j ^ + k ^