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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)
Date Posted: 5 years ago
Views: 365
https://www.teachoo.com/amp/3563/756/Example-7---Find-vector-equation-for-line-(-1--0--2)--(3--4--6)/category/Examples/
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done
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clear
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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.
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.
Date Posted:
5 years ago
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