# Worksheet: Magnitude of a Vector in 3D

In this worksheet, we will practice finding the norm of a position vector in space.

Q1:

If , find .

• A
• B33
• C
• D1

Q2:

If and , determine .

• A
• B
• C5
• D

Q3:

If , find .

• A
• B53
• C
• D81

Q4:

If , find .

• A5
• B27
• C
• D25

Q5:

If and , determine .

• A
• B
• C
• D

Q6:

Given that and units, determine the possible values of .

• A
• B
• C
• D

Q7:

Given that , , , and all three vectors are mutually perpendicular, determine .

• A252
• B
• C
• D23

Q8:

Given that and , determine .

• A
• B7
• C
• D41

Q9:

Given that , find the value of .

• A9
• B4
• C
• D

Q10:

Given that and , determine .

• A118
• B
• C26
• D

Q11:

Suppose and are two vectors in . Is ? If not, which is greater?

• Ano,
• Bno,
• Cyes

Q12:

If , find .

• A3
• B
• C
• D
• E1

Q13:

If , find .

• A2
• B4
• C
• D
• E

Q14:

If and , find all the possible values of .

• A2
• B
• C6
• D
• E

Q15:

If and , find .

• A6
• B
• C
• D
• E

Q16:

If and , determine .

• A
• B3
• C

Q17:

If and , determine and .

• A,
• B,
• C,

Q18:

Is a unit vector?

• ANo
• BYes

Q19:

Given that the coordinates of and are and , respectively, determine .

• A5
• B
• C
• D

Q20:

Which of the following computes the length of the vector ?

• A
• B
• C
• D