Worksheet: Directed Line Segments

In this worksheet, we will practice expressing a directed line segment in terms of the coordinates of its terminals.

Q1:

The vector describes a translation from point to point .

What is another way of writing the vector ?

• A
• B
• C
• D
• E

Q2:

For the points , , , and , is ?

• Ayes
• Bno

Q3:

What is the terminal point of the vector ?

• A
• B
• C
• D
• E

Q4:

For the points , , , and , is ?

• Ano
• Byes

Q5:

Given points , and , find and .

• A ,
• B ,
• C ,
• D ,

Q6:

Given and , express in terms of the fundamental unit vectors.

• A
• B
• C
• D

Q7:

The coordinates of and are and respectively. If is the midpoint of , what is ?

• A
• B
• C
• D

Q8:

Given points , and , find and .

• A ,
• B ,
• C ,
• D ,

Q9:

Given points , and , find and .

• A ,
• B ,
• C ,
• D ,

Q10:

The coordinates of and are and respectively. If is the midpoint of , what is ?

• A
• B
• C
• D

Q11:

The coordinates of and are and respectively. If is the midpoint of , what is ?

• A
• B
• C
• D

Q12:

Given and , express in terms of the fundamental unit vectors.

• A
• B
• C
• D