In this lesson, we will learn how to find the point/line of intersection between planes given their equations.

Q1:

Find the point of intersection of the planes −5𝑥−2𝑦+6𝑧−1=0, −7𝑥+8𝑦+𝑧−6=0, and 𝑥−3𝑦+3𝑧+11=0.

Q2:

Find the vector equation of the line of intersection between the two planes 𝑥+3𝑦+2𝑧−6=0 and 2𝑥−𝑦+𝑧+2=0.

Q3:

Find the vector equation of the line of intersection between the two planes 3𝑥+𝑦−5𝑧=0 and 𝑥+2𝑦+𝑧+4=0.

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