Given the following expression A) ( a b ) c B) a ( b c ) C) a ( b c ) D) | a |( b c ) E) ( a b ) ( b c ) Then which of the following is not correct

Step-by-step solution

Expression A: ( a b ) is a vector. The dot product of a vector with another vector c is a scalar. Thus, A is meaningful. Expression B: ( b c ) is a scalar. The cross product is defined only between two vectors. Thus, B is meaningless. Expression C: ( b c ) is a scalar. The dot product is defined only between two vectors. Thus, C is meaningless. Expression D: | a | is a scalar and ( b c ) is a scalar. The product of two scalars is a scalar. Thus, D is meaningful. Expression E: ( a b ) and ( b c ) are both scalars. T