Let a → and b → be two vectors such that a → + b → 2 = a → 2 + 2 b → 2 , a → · b → = 3 and a → × b → 2 = 75 . Then a → 2 is equal to ______.

Step-by-step solution

Given, a → + b → 2 = a → 2 + 2 b → 2   &   a → · b → = 3 We know that a → + b → 2 = a → 2 + b → 2 + 2 a → · b → Now using the above formula in a → + b → 2 = a → 2 + 2 b → 2 we get, a → 2 + b → 2 + 2 a → · b → = a → 2 + 2 b → 2 Now on comparing both side we get, b → 2 = 2 a → · b → = 6   . . . . . . . . . 1 Also given a → &#