Which of the following is not true?

A) $\mathbf { v } + \mathbf { w } = \mathbf { w } + \mathbf { v }$
B) $\mathbf { v } + ( - \mathbf { w } ) = \mathbf { v } - \mathbf { w }$
C) $\frac { \mathbf { v } } { \mathbf { v } } = 1$ for a nonzero vector v
D)v + 0 = v
E)The product of a vector and scalar is a vector.

Question

Which of the following is not true?

A) $\mathbf { v } + \mathbf { w } = \mathbf { w } + \mathbf { v }$
B) $\mathbf { v } + ( - \mathbf { w } ) = \mathbf { v } - \mathbf { w }$
C) $\frac { \mathbf { v } } { \mathbf { v } } = 1$ for a nonzero vector  v
D)v + 0 = v
E)The product of a vector and scalar is a vector.

Quizplus · Accepted Answer

The statement C is not true because division of vectors as described is not defined in vector algebra. The expression $\frac { \mathbf { v } } { \mathbf { v } }$ does not make sense in the context of vector operations.

Which of the Following Is Not True? A) v+w=w+v\mathbf { v } + \mathbf { w } = \mathbf { w } + \mathbf { v }v+w=w+v

Which of the Following Is Not True?

A) $\mathbf { v } + \mathbf { w } = \mathbf { w } + \mathbf { v }$