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Question

Find the equation of a line passing through the points P(1,3,2) and Q(4,2,2). Also, if the point R(5,5,λ) is collinear with the points P and Q, then find the value of λ

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Solution

Equation of the line passing through the points P(1,3,2) and Q(4,2,2) is
x+11+4=y332=z22+2
x+13=y31=z24
Point R(5,5,λ) lies on it,
5+13=531 =λ24λ=10

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