# Worksheet: Scalar Triple Product

Q1:

If , , and , find .

Q2:

Given , , and , find .

Q3:

Find .

Q4:

If , , and , calculate .

• A
• B
• C
• D0
• E

Q5:

Find the volume of the parallelepiped with the adjacent sides , , and .

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
• B36 or
• C16 or
• D36 or

Q9:

Find the volume of the parallelepiped with the adjacent sides , , and .

Q10:

If , , and are three linearly independent vectors in , then the volume of the parallelepiped determined by , , and is .

• A
• B
• C
• D

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 .

• A
• B
• C
• D0
• E

Q15:

If , , and , calculate .

• A
• B
• C
• D0
• E

Q16:

If , , and , calculate .

• A
• B
• C
• D0
• E