In this lesson, we will learn how to find the measure of an angle between two planes or that between a line and a plane.

Q1:

Find, to the nearest second, the measure of the angle between the planes −9𝑥−6𝑦+5𝑧=−8 and 2𝑥+2𝑦+7𝑧=−8.

Q2:

Find, to the nearest second, the measure of the angle between the planes ⟨−5,−9,4⟩⋅=6r and −4𝑥−𝑦−6𝑧=−3.

Q3:

Find, to the nearest second, the measure of the angle between the straight line rijkijk=(9+8−5)+𝑡(+−3) and the normal to the plane rijk⋅(−3+2+5)=−7.

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