True or false on vector algebra

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   A scalar carries magnitude only.

2. Statement is true

   No

   Statement

   The length of a vector may be negative.

3. Statement is true

   No

   Statement

   The zero vector has a definite direction.

4. Statement is true

   Yes

   Statement

   The scalar product is commutative.

5. Statement is true

   No

   Statement

   The vector product is commutative.

6. Statement is true

   Yes

   Statement

   A unit vector has magnitude one.

Instructions

Decide whether each statement is true or false.

Explanation