If `bar(a), bar(b), bar(c)` are non coplanar vectors, then test for the collinearity of the following points whose position vectors are given.
i) `bar(a)-2bar(b)+3bar(c), 2bar(a)+3bar(b)-4bar(c), -7bar(b)+10bar(c)`
ii) `3bar(a)-4bar(b)+3bar(c), -4bar(a)+5bar(b)-6bar(c), 4bar(a)-7bar(b)+6bar(c)`
iii) `2bar(a)+5bar(b)-4bar(c), bar(a)+4bar(b)-3bar(c), 4bar(a)+7bar(b)-6bar(c)`

Answer

The points A, B, C are non-collinear