# Worksheet: Scalar Triple Product

In this worksheet, we will practice calculating the scalar triple product and apply this in geometrical applications.

**Q2: **

Given , , and , find .

**Q3: **

Find .

**Q4: **

If , , and , calculate .

**Q6: **

If , , and , calculate .

**Q7: **

Find the volume of the parallelepiped in which three adjacent sides are represented by the vectors , , and .

**Q8: **

The parallelepiped on vectors , , and has volume 48. What can be?

- A16 or
- B16 or
- C36 or
- D36 or

**Q11: **

Find the value of for which the four points , , , and all lie in a single plane.

**Q12: **

Suppose that vectors , , and are all in the same plane. What is the value of ?

**Q13: **

Given , , and , find .

**Q14: **

If , , and , calculate .

**Q15: **

If , , and , calculate .

**Q16: **

If , , and , calculate .