Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Start Practicing

Worksheet: Finding the Angle between Two Vectors in the Coordinate Plane

Q1:

.

  • A
  • B
  • C
  • D
  • E

Q2:

If and satisfy , how are the two vectors related?

  • Aperpendicular
  • Bparallel

Q3:

If and are two perpendicular vectors, then .

Q4:

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

  • A85.00
  • B
  • C
  • D

Q5:

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

  • A
  • B
    1 170.50
  • C663.50
  • D

Q6:

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

  • A
  • B
  • C251.82
  • D

Q7:

Suppose is a square of side 47. Determine .

Q8:

Suppose square of side 32.6. Determine .

Q9:

Suppose a rectangle with and . Determine .

Q10:

In rectangle , we have and . Determine to the nearest hundredth.

Q11:

In a rectangle , and . Determine .

Q12:

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

Q13:

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

Q14:

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

Q15:

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

Q16:

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

Q17:

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

Q18:

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