a) Determine the equation of the line ℓ passing through the points (2, 1, 3) and (3, 2, 6). (0.2) b) Determine the intersection between ℓ and the line ℓ " : (x, y, z) = (−2 − t, 2 + t, 1 + t), t ∈ R. (0,4) c) Determine the intersection between ℓ and the plane π : 2x − 3y + z = 2.

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A: Step 1: Step 2: Step 3: Step 4:

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