MHT CET202618 April 2026Evening ShiftMathematicsVector AlgebraActual
If a b = and a b = c then a =
Options
- Ab c - b | b |^2
- Bb c - c | b |^2
- Cb c + b | b |^2
- Db c + c | b |^2
Correct answer
C. b c + b | b |^2
Step-by-step solution
Given a b = c Taking cross product with b on both sides from the left: b ( a b ) = b c Using the vector triple product expansion x ( y z ) = ( x z ) y - ( x y ) z : ( b b ) a - ( b a ) b = b c Substituting b b = | b |^2 and a b = : | b |^2 a - b = b c | b |^2 a = b c + b a = b c + b | b |^2