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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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