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junior college 1 | H2 Maths

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need help for 4i!! answer is

r = (2, -1, 5) + λ(1, 1, 1)

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We extract out 1 1 1 from -3 -3 -3 (or 3 3 3 if you had done A - B). This is the direction vector for AB.

Of course, for two parallel lines, they have the same direction vector (akin to 'gradient'). Since the line passes A or B, your equation becomes

r = (either point A or B) + k (1 1 1) for some real k.