Midterm One

Which of the following expressions are meaningful? Which are meaningless? Explain. (a · b) · c

(a · b) · c has no meaning because it is the dot product of a scalar and a vector

Which of the following expressions are meaningful? Which are meaningless? Explain. (a · b)c

(a · b)c has meaning because it is a scalar multiple of a vector

Which of the following expressions are meaningful? Which are meaningless? Explain. a · (b + c)

a · (b + c) has meaning because it is the dot product of two vectors

Which of the following expressions are meaningful? Which are meaningless? Explain. a · b + c

a · b + c has no meaning because it is the sum of a scalar and a vector

Which of the following expressions are meaningful? Which are meaningless? Explain |a| · (b + c)

|a| · (b + c) has no Maning because it is the dot product of a scalar and a vector

Which of the following expressions are meaningful? Which are meaningless? Explain. |a|(b · c)

|a|(b · c) has meaning because it is the product of two scalars