[" If "a,b,c" are noncoplanar find the point of intersection of the line passing through "],[" the points "2a+3b-c,3a+4b-2c" with the line joining the points "a-2b+3c,a-6b+6c" ."]

If bar(a), bar(b), bar(c) are noncoplanar, find the point of intersection of the line passing through the points 2bar(a)+3bar(b)-bar(c), 3bar(a)+4bar(b)-2bar(c) with the line joining the points bar(a)-2bar(b)+3bar(c) and bar(a)-6bar(b)+6bar(c) .

The vector equation to the line passing through the points a + 2b + 3c, 2a + 3b - 4c is

The equation of the plane passing through the points A(2,3,-1) B(4,5,2) C(3,6,5) is

Line passing through the points 2a+3b-c3a+4b-2c intersects the line passing through the points a-2b+3c,a-6b+6c at P. Position vector of P.

Find the equation of the line passing through the points A(-2,4,7), B(3,-6,-8). Hence show that the points A,B and C(1,-2,2) are collinear.

Find the ratio in which the point C(6,-17,-4) divides the line segment joining the points A (2, 3,4) and B (3 , -2 , 2) .

Show that the line joining the point A(1,-1,2) and B(3, 4, -2) is perpendicular to the line joining the points C(0,3,2) and D(3,5,6).