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junior college 1 | H2 Maths
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junior college 1 chevron_right H2 Maths chevron_right Singapore

need help for 4i!! answer is
r = (2, -1, 5) + λ(1, 1, 1)

Date Posted: 7 months ago
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7 months ago

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Eric Nicholas K
Eric Nicholas K's answer
3789 answers (Tutor Details)
We find the direction vector AB, which is simply the 'difference' between the positions A and B. The order does not matter; we are only interested in the 'gradient' (just like a two-dimensional straight line y = mx + c).

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.