Eric Nicholas K's answer to Sonia's Junior College 2 H2 Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Good morning Sonia! I am not so sure of my working for part four.
Boy Mow Chau
Boy Mow Chau
4 years ago
definition of coplanar should be "in the same plane".

for 2 lines that are parallel, you can always find a plane that passes through both lines simultaneously, eg, like a pair of railway tracks are parallel and lie in the same plane.

so l1 & l2 should be considered as coplanar.

final answer, all 3 lines l1, l2 and l3 are coplanar.
Eric Nicholas K
Eric Nicholas K
4 years ago
True enough. I was thinking along the lines that the directions had to be different and a plane equation could not be formed with two parallel lines only. Apparently you are right, they wanted to ask simply for the coplanarity and not the equation of the plane.