Chapter 5 - Inner Product Spaces - 5.1 Length and Dot Product in Rn - 5.1 Exercises - Page 236: 74

(a) Since the dot product gives scalar then the expression $$(\mathbf{u} \cdot \mathbf{v}) \cdot \mathbf{u}$$ is meaningless, that is, one can not consider the dot product of a scalar and a vector. (b Since the dot product gives scalar then the expression $$c \cdot(\mathbf{u} \cdot \mathbf{v})$$ is meaningless, that is, one can not consider the dot product of two scalars.

(a) Since the dot product gives scalar then the expression $$(\mathbf{u} \cdot \mathbf{v}) \cdot \mathbf{u}$$ is meaningless, that is, one can not consider the dot product of a scalar and a vector. (b Since the dot product gives scalar then the expression $$c \cdot(\mathbf{u} \cdot \mathbf{v})$$ is meaningless, that is, one can not consider the dot product of two scalars.