MHT CET202618 April 2026Evening ShiftMathematicsVector AlgebraActual
The value of | a b |^2 + | a b | | a b | is
Options
- A-a^2 b^2
- Ba^2 b^2
- Ca^2 b^2
- Da^2 b^2
Correct answer
B. a^2 b^2
Step-by-step solution
Let be the angle between vectors a and b . The dot product is given by a b = | a | | b | = a b . The magnitude of the cross product is given by | a b | = | a | | b | = a b . The given expression is | a b |^2 + | a b | | a b | . Substituting the values: | a b |^2 + | a b |^2 = (a b )^2 + (a b )^2 = a^2 b^2 ^2 + a^2 b^2 ^2 = a^2 b^2 ( ^2 + ^2 ) = a^2 b^2 (1) = a^2 b^2 Answer: a^2 b^2