True or false on vector algebra

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   Scaling a vector gives another vector.

2. Statement is true

   No

   Statement

   A negative scalar keeps the direction.

3. Statement is true

   Yes

   Statement

   The dot product is commutative.

4. Statement is true

   No

   Statement

   The cross product is commutative.

5. Statement is true

   Yes

   Statement

   Projection on a line is a vector.

6. Statement is true

   No

   Statement

   Parallel vectors have a large cross product.

Instructions

Decide whether each statement is true or false.

Explanation