Introduction to...

If the point $$ A(3, -2, 4), B(1, 1, 1) $$ and $$ C(-1, 4, -2) $$ are collinear then $$ (C : AB)  $$

Centroid of triangle formed by foot of perpendiculars from (-3, -6, -9) on coordinate axes is:-

If $$( - 6 , - 4 ) , ( 3,5 ) , ( - 2,1 )$$ are the vertices of a parallelogram, then remaining vertex can be:

The distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0 is

If $$L_1$$ is the line of intersection of the plane $$2x-2y+3z-2=0, x-y+z+1=0$$ and $$L_2$$ is the line of intersection of the plane   $$x+2y-z-3=0, 3x-y+2z-1=0$$, then the distance of origin from from the plane containing the lines $$L_1$$ + $$L_2$$ is :

 Which one of the following 3D shapes does not have a vertex?  

is a point on the line segment joining the points A(2,-3,4) and B(8,0,10). if the value of y-coordinate of C is-2, then the z-coordinate of c is ___________________.

Find the ratio on which the plane 3x + 4y - 5z = 1 divides the line joining the points (-2, 4, -6) and (3, -5, 8).

The centroid of triangle $$A(3,4,5);B(6,7,2);C(0,-5,2)$$ is

The shortest distances of a point from x-axis, y-axis and z-axis are 2,3,6 respectively. The distance of this point from the origin is