Introduction to...

The ratio in which the plane $$x - 2y + 3z = 17$$ divides the line joining $$(-2, 4, 7)$$ and (3, -5, 8) is 

In the $$\Delta ABC$$ $$AB = \sqrt 2 ,AC = \sqrt {20} ,$$ B=$$(3,2,0)$$ and C=$$(0,1,4)$$ then the length of the median passing through A is 

If a point C with y coordinate 2, lies on the line joining the points A(-1, -4, 5) and B(4, 6, -5), then find the coordinates of C.

The locus of a point P which moves such that $$PA^2-PB^2=2k^2$$ where A and B are $$(3, 4, 5)$$ and $$(-1, 3, -7)$$ respectively is 

The perimeter of the triangle formed by the points $$(1,0,0),(0,1,0),(0,0,1)$$ is 

The distance between the points $$P(x,\,-1)$$ and $$Q(3,\,2)$$ is $$5$$ units. Find the value of $$x$$.

$$P$$ and $$Q$$ are points on the line joining $$A(-2,5)$$ and $$B(3,1)$$ such that $$AP=PQ=QB$$. Then, the distance of the midpoint of $$PQ$$ from the origin is

If A=(1,-2,-1) B=(4,0,-3)C=(1,2,-1),D=(2,-4,-5) Find the distance between AB and CD lines.

Find the co ordinates of points which trisect the line segment joining $$( 1 , - 2 )$$ and $$( - 3,4 )$$

If G is the centroid of $$\triangle ABC$$ and BC = 3, CA = 4, AB = 5 then BG =