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.

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.

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

If line joining points A and B having position vectors 6bar(a)-4bar(b)+4bar(c) and -4bar(c) respectively, and the line joining the points C and D having position vectors -bar(a)-2bar(b)-3bar(c) and bar(a)+2bar(b)-5bar(c) intersect,then their point of intersection is (A) B(B)C(C)D(D)A

If bar(a),bar(b),bar(c) are non-coplanar vectors.Prove that the four points -bar(a)+4bar(b)-3bar(c) , 3bar(a)+2bar(b)-5bar(c) , -3bar(a)+8bar(b)-5bar(c) , -3bar(a)+2bar(b)+bar(c) are coplanar.

A point C=(5bar(a)+4bar(b)-5bar(c))/(3) divides the line joining A=bar(a)-2bar(b)+3bar(c) and B in the ratio 2:1 then bar(AB) is