Let a → = i ^ + 2 j ^ + 3 k ^ , b → = i ^ - j ^ + 2 k ^ and c → = 5 i ^ - 3 j ^ + 3 k ^ , be there(three) vector. If r → is a vector such that, r → × b → = c → × b → and r → · a → = 0 , then 25 r → 2 is equal to

Step-by-step solution

Given, r → × b → = c → × b → ⇒ r → × b → - c → × b → = 0 r → - c → × b → = 0 Hence, we can say that r → - c → is parallel to vector b → , Now let , r → - c → = λ b → ⇒ r → = c → + λ b →   . . . . . . 1 ∵         r → · a → = 0 ⇒ c → · a → + λ b → · a → = 0 &#86