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Lesson: Vector Projection

Worksheet • 8 Questions

Q1:

𝐴 𝐡 𝐢 is a right-angled triangle at 𝐡 , where 𝐴 𝐡 = 1 7 c m , 𝐡 𝐢 = 1 1 c m , and 𝐷 is the midpoint of 𝐴 𝐢 . Find the algebraic projection of οƒ  𝐴 𝐷 in the direction of οƒŸ 𝐢 𝐡 .

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 β€– β€– ⃑ 𝐴 β€– β€– = 1 2 , β€– β€– ⃑ 𝐡 β€– β€– = 2 7 , and the measure of the angle between ⃑ 𝐴 and ⃑ 𝐡 is 6 0 ∘ , determine the algebraic projection of ( ⃑ 𝐴 + ⃑ 𝐡 ) in the direction of ⃑ 𝐡 .

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.

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