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In this lesson, we will learn how to find the projection of a vector onto another.

Q1:

π΄ π΅ πΆ is a right-angled triangle at π΅ , where π΄ π΅ = 1 7 c m , π΅ πΆ = 1 1 c m , and π· is the midpoint of π΄ πΆ . Find the algebraic projection of ο π΄ π· in the direction of ο πΆ π΅ .

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 β π΄ β β = 1 2 , β β β π΅ β β = 2 7 , and the measure of the angle between β π΄ and β π΅ is 6 0 β , determine the algebraic projection of ( β π΄ + β π΅ ) in the direction of β π΅ .

Q4:

The cube shown has sides of length 4 4 1 7 . Find the scalar projection of ο π π΄ onto ο πΆ π΅ , giving your answer correct to two decimal places.

Q5:

The cube shown has sides of length 8 3 . Find the scalar projection of ο π π΄ onto ο πΆ π΅ , giving your answer correct to two decimal places.

Q6:

The cube shown has sides of length 30. Find the scalar projection of ο π π΄ onto ο πΆ π΅ , giving your answer correct to two decimal places.

Q7:

The cube shown has sides of length 25. Find the scalar projection of ο π π΄ onto ο πΆ π΅ , giving your answer correct to two decimal places.

Q8:

The cube shown has sides of length 42. Find the scalar projection of ο π π΄ onto ο πΆ π΅ , giving your answer correct to two decimal places.

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