State whether each expression is meaningful. If not, explain why. If so, state whether it is a vector or a scalar. (a) a · (b *

c. The expression is meaningful. It is a vector. The expression is meaningful. It is a scalar. The expression is meaningless. The cross product is defined only for two vectors.

we are given

a · (b * c)

we know that

cross product of two vectors are vector

and dot product of two vectors are scalar

(b * c) is cross product of vectors b and c

so, (b * c) = vector

a · (vector) is dot product of two vectors

so, a · (vector) = scalar

so, this expression is meaningful

and

a · (b * c) = scalar ... Answer