[" a,"b" ,c are three non-coplanar vectors.Show that the points with p."v" .'s "],[6bar(a)-4b+10bar(c),-5a+3b-10bar(c),4bar(a)-6bar(b)-10bar(c)" and "2bar(b)+10bar(c)" are coplanar."]

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.

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.

i) If bar(a), bar(b), bar(c) are non coplanar vectors, then prove that the vectors 5bar(a)-6bar(b)+7bar(c), 7bar(a)-8bar(b)+9bar(c) and bar(a)-3bar(b)+5bar(c) are coplanar.

If bar(a),bar(b),bar(c) are non - coplanar vectors, then show the vectors -bar(a)+3bar(b)-5bar(c),-bar(a)+bar(b)+bar(c) and 2bar(a)-3bar(b)+bar(c) are coplanar.

If bar(a),bar(b),bar(c) are non-zero, non -coplanar vectors, then show that the vectors 2bar(a)-5bar(b)+2bar(c),bar(a)+5bar(b)-6bar(c)and3bar(a)-4bar(c) are coplanar.

Show that points with p.v bar(a)-2bar(b)+3bar(c ),-2bar(a)+3bar(b)-bar(c ),4bar(a)-7bar(b)+7bar(c ) are collinear. It is given that vectors bara,barb,bar c are non-coplanar.

Show that points with p.v bar(a)-2bar(b)+3bar(c ),-2bar(a)+3bar(b)-bar(c ),4bar(a)-7bar(b)+7bar(c ) are collinear. It is given that vectors bara,barb,bar c are non-coplanar.

bar(a) , bar(b), bar (c ) , are non-coplanar vectors, Prove that the following four points are coplanar. 6bar(a) + 2bar(b) - bar(c ), 2bar(a) - bar(b) + 3bar(c ), -bar(a) + 2bar(b)-4bar(c ), -12bar(a)-bar(b)-3bar(c ) .

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