Yes you can because b-c and c-b are both direction vectors of the line
The answer will not be so different : it is a matter of changing in
i think this is simple, but it still confuses me at times
say i have 2 position vectors:
b = 2i - 3j
c = 3i - 2j + sqrt(2)k
i am asked to give the equation of the line going through these 2 points
i know this equation is given by r=a + λb
where a is the position vector of a point on the line
(in this case it can be b or c)
and b is the Direction Vector of the line, and this can be calculated easily by working out (c - b),
BUT
can the direction Vector also be calculated by working out (b - c)??
Because in doing so the answer will be completely different, but i think that it would still qualify as an equation of a line passing through points b and c no?
just wanted to clarify this, thanks in advance for any assistance