Which of the following is not true?

A)Vector addition is commutative.
B)Scalar addition is commutative.
C)The sum of two vectors is a vector.
D)The sum of two scalars is a scalar.
E)The area of a region bounded by a curve is a vector.

Question

Which of the following is not true?
​
A)Vector addition is commutative.
B)Scalar addition is commutative.
C)The sum of two vectors is a vector.
D)The sum of two scalars is a scalar.
E)The area of a region bounded by a curve is a vector.

Quizplus · Accepted Answer

The area of a region bounded by a curve is a scalar quantity, not a vector. Scalars have magnitude only, while vectors have both magnitude and direction. The area does not have a direction associated with it, making it a scalar.

Which of the Following Is Not True