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Worksheet: Vector Projection

Q1:

is a right triangle at , where , , and is the midpoint of . Find the algebraic projection of in the direction of .

  • A5.5
  • B
  • C
  • D
  • E93.5

Q2:

Determine, to the nearest hundredth, the length of the projection of the vector passing through the points and to the straight line .

Q3:

Given that , , and the size of the angle between and is , determine the algebraic projection of in the direction of .

  • A306
  • B25.5
  • C14.5
  • D33
  • E11.33

Q4:

The cube shown has sides of length 4 4 1 7 . Find the scalar projection of οƒ  𝑂 𝐴 onto οƒŸ 𝐢 𝐡 , giving your answer correct to two decimal places.

Q5:

The cube shown has sides of length 8 3 . Find the scalar projection of οƒ  𝑂 𝐴 onto οƒŸ 𝐢 𝐡 , giving your answer correct to two decimal places.

Q6:

The cube shown has sides of length 30. Find the scalar projection of οƒ  𝑂 𝐴 onto οƒŸ 𝐢 𝐡 , giving your answer correct to two decimal places.

Q7:

The cube shown has sides of length 25. Find the scalar projection of οƒ  𝑂 𝐴 onto οƒŸ 𝐢 𝐡 , giving your answer correct to two decimal places.

Q8:

The cube shown has sides of length 42. Find the scalar projection of οƒ  𝑂 𝐴 onto οƒŸ 𝐢 𝐡 , giving your answer correct to two decimal places.