Lesson Worksheet: Vector Operations in 3D Mathematics
In this worksheet, we will practice doing operations on vectors in 3D, such as addition, subtraction, and scalar multiplication.
Q4:
If and , find .
- A
- B
- C
- D
Q9:
Suppose a unit vector is such that . Determine the possible values of .
- A
- B
- C
- D
Q10:
Given and , determine the unit vector in the direction –.
- A
- B
- C
- D
Q11:
Find the unit vector in the direction of , where and .
- A
- B
- C
- D
Q13:
and are two vectors, where and . Comparing and , which quantity is larger?
- AThey are both the same.
- B
- C
Q14:
Given the two vectors and , find .
- A
- B
- C
- D
- E
Q15:
If and , find .
- A
- B
- C
- D
- E
Q16:
Given that and , find .
- A
- B3
- C
- D9
- E
Q21:
A force of newtons is being applied to an object. What other force should be applied to achieve a total force of newtons?
- A newtons
- B newtons
- C newtons
- D newtons
- E newtons
Q23:
Given that and , find the following.
- A
- B
- C
- D
- E
, where is a constant
- A
- B
- C
- D
- E
- A
- B
- C
- D
- E
Q25:
True or False: If is any vector in 3D and is the zero vector, then, for any vector , equals .
- ATrue
- BFalse