Which of the following is not true?

A)The sum of two scalars is a scalar.
B)The sum of two vectors is a vector.
C)v + 0 = v
D) $\mathbf { v } - \mathbf { w } = \mathbf { v } + ( - \mathbf { w } )$
E)Force is a vector.

Question

Which of the following is not true?

A)The sum of two scalars is a scalar.
B)The sum of two vectors is a vector.
C)v + 0 = v
D) $\mathbf { v } - \mathbf { w } = \mathbf { v } + ( - \mathbf { w } )$
E)Force is a vector.

Quizplus · Accepted Answer

The statement "v + 0 = v" is not necessarily false in the context of vectors and scalars, but it is less about the nature of vectors or scalars and more a basic property of addition in algebra. However, all other options (A, B, D, E) directly relate to fundamental properties of scalars and vectors or operations involving them. Specifically, option C is true for both vectors and scalars, making it a basic principle of addition rather than an incorrect statement about vectors or scalars. Thus, the initial interpretation was incorrect, and upon reevaluation, all given statements (A, B, C, D, E) are actually true regarding their respective contexts in mathematics and physics.

Which of the Following Is Not True? A)The Sum v−w=v+(−w)\mathbf { v } - \mathbf { w } = \mathbf { v } + ( - \mathbf { w } )v−w=v+(−w)

Which of the Following Is Not True?

A)The Sum $\mathbf { v } - \mathbf { w } = \mathbf { v } + ( - \mathbf { w } )$