# Worksheet: Vector Subtraction

In this worksheet, we will practice subtracting one vector from another in two dimensions, using both graphical and algebraic methods.

Q1:

The diagram shows seven vectors: , , , , , , and . Which of the vectors is equal to ?

• A
• B
• C
• D
• E

Which of the vectors is equal to ?

• A
• B
• C
• D
• E

Q2:

The diagram shows three vectors: , , and . Which of the following expressions gives in terms of and ? • A
• B
• C
• D
• E

Q3:

Which of the vectors, , , , , or , shown in the diagram is equal to ? • A
• B
• C
• D
• E

Q4:

Consider the two vectors and . and . Which of the five vectors shown in the diagram is equal to ? • A
• B
• C
• D
• E

Q5:

Which of the vectors, , , , , or , shown in the diagram is equal to ? • A
• B
• C
• D
• E

Q6:

The diagram shows two vectors: and . Work out in component form. • A
• B
• C
• D
• E

Q7:

Which of the vectors, , , , , or , shown in the diagram is equal to ? • A
• B
• C
• D
• E

Q8:

Consider the two vectors and . and . Which of the five vectors shown in the diagram is equal to ? • A
• B
• C
• D
• E

Q9:

The diagram shows three vectors: , , and . Which of the following expressions gives in terms of and ? • A
• B
• C
• D
• E

Q10:

Consider two vectors and , where and . Calculate .

• A
• B
• C
• D
• E

Q11:

Consider two vectors and , where and . Calculate .

• A
• B
• C
• D
• E

Q12:

Which of the vectors, , , , , or , shown in the diagram is equal to ? • A
• B
• C
• D
• E

Q13:

Consider the two vectors and , where and . Calculate .

• A
• B
• C
• D
• E

Q14:

The diagram shows two vectors: and . Work out in component form. • A
• B
• C
• D
• E

Q15:

The diagram shows four vectors: , , , and . Which of the vectors and is equal to ?

• A
• B

Which of the vectors and is equal to ?

• A
• B