# Worksheet: The Angle between Two Vectors in the Coordinate Plane

Q1:

If and , where the size of the angle between and is , find to the nearest hundredth.

• A
• B
• C85.00
• D

Q2:

If and , where the size of the angle between and is , find to the nearest hundredth.

• A663.50
• B
• C
• D
1β170.50

Q3:

If and , where the size of the angle between and is , find to the nearest hundredth.

• A251.82
• B
• C
• D

Q4:

Suppose is a square of side 47. Determine .

Q5:

If , find the value of in the range .

Q6:

If and , find all the possible values of that make the size of the angle between the two vectors .

• A or
• B or
• C or
• D or

Q7:

If , , and the size of the angle between and is , calculate .

• A80
• B
• C
• D
• E

Q8:

If , find the value of in the range .

Q9:

.

• A
• B
• C
• D
• E

Q10:

Suppose square of side 32.6. Determine .

Q11:

If is a regular hexagon whose side is 9.6, find .

Q12:

If is a regular hexagon whose side is 32.3, find .

Q13:

If is a regular hexagon whose side is 32.6, find .

Q14:

Let and Find the angle between and giving your answer to two decimal places.

Q15:

Given that , and , determine the angle between the two vectors rounded to the nearest minute.

• A
• B
• C
• D

Q16:

If and satisfy , how are the two vectors related?

• Aperpendicular
• Bparallel

Q17:

In a rectangle , and . Determine .

Q18:

Triangle has a right angle at . Given , , and that is the midpoint of , determine to the nearest hundredth.

Q19:

If is a regular hexagon whose side is 7.1, find .

Q20:

If is a regular hexagon whose side is 17.2, find .

Q21:

Suppose a rectangle with and . Determine .

Q22:

Triangle has a right angle at . Given and , determine .

Q23:

Triangle has a right angle at . Given , , and that is the midpoint of . Determine to the nearest hundredth.