Show that the points whose P,V are `-2bar(a)+3bar(b)+5bar(c ), bar(a)+2bar(b)+3bar(c ) , 7bar(a)-bar(c )` are collinear, where `bar(a),bar(b), bar(c )` are non-coplanar vectors.

S.T the points whose P.V are bar(a) - 2bar(b) + 3bar(c ), 2bar(a)+3bar(b)-4bar(c ), -7bar(b)+10bar(c ) are collinear.

Show that the following vectors are linearly dependent bar(a)-2bar(b)+bar(c), 2bar(a)+bar(b)-bar(c), 7bar(a)-4bar(b)+bar(c) where bar(a), bar(b), bar(c) are non-coplanar vectors

The points 2bar(a)+3bar(b)+bar(c), bar(a)+bar(b), 6bar(a)+11bar(b)+5bar(c) are

Find a linear relation between the vectors bar(a)+3bar(b)+4bar(c), bar(a)-2bar(b)+3bar(c), bar(a)+5bar(b)-2bar(c) and 6bar(a)+14bar(b)+4bar(c)" where "bar(a), bar(b), bar(c) are non coplanar vectors.

Show that the line joining the pair of points 6bar(a)-4bar(b)+4bar(c ), -4bar(c ) and the line joining the pair of points, -bar(a)-2bar(b)-3bar(c ), bar(a)+2bar(b)-5bar(c ) intersect at the point -4bar(c ) when bar(a),bar(b),bar(c ) are non-coplanar vectors.