# Worksheet: Scalars, Vectors, and Directed Line Segments

In this worksheet, we will practice recognizing, constructing, and expressing directed line segments.

**Q1: **

Which vector has the same direction as ?

- A
- B
- C

**Q3: **

Find the components of the vector shown on the grid of unit squares below.

- A
- B
- C
- D
- E

**Q4: **

Find the magnitude of the vector shown on the grid of unit squares below.

**Q5: **

Find the magnitude of the vector shown on the grid of unit squares below.

- A5
- B
- C9
- D
- E

**Q6: **

Find the magnitude of the vector shown on the grid of unit squares below.

- A
- B
- C13
- D
- E

**Q7: **

Given that is a square of side length 9 cm, determine the scalar product of and .

**Q8: **

The vector describes a translation from point to point .

What is another way of writing the vector ?

- A
- B
- C
- D
- E

**Q11: **

In the given figure, and are parallel lines; however, is NOT parallel to either or . Given that , , and , determine whether and are in the same, opposite, or different directions.

- Adifferent
- Bsame
- Copposite

**Q12: **

Given that , , and , determine the values of and .

- A,
- B,
- C,
- D,

**Q13: **

The given diagram shows the vectors and .

Two more vectors are drawn: a vector equivalent to with initial point and a vector equivalent to with initial point .

What can you say about the terminal points of these vectors?

- AThey lie on the angle bisector of .
- BThey are the same distance from each other as is from .
- CThey lie on the line .
- DThey are twice as far away from each other as is from .
- EThey are the same point.

**Q14: **

Select all the statements that must be true if and are equivalent vectors.

- AThe intial point of is the terminal point of .
- B and have the same terminal point.
- C
- DThe intial point of is the terminal point of .
- E and have the same initial point.