Introduction to...

Ratio in which the $xy-$plane divides the join of $(1, 2, 3)$ and $(4, 2, 1)$ is 

The equation of the set of points which are equidistant from the points $(1, 2, 3)$ and $(3, 2, -1)$.

$A(3, 2, 0), B(5, 3, 2), C(-9, 6, -3)$ are three points forming a triangle. If $AD$, the bisector of $\angle BAC$ meets $BC$ in $D$ then coordinates of $D$ are

$A=\left(2,4,5\right)$ and $B=\left(3,5,-4\right)$ are two points. If the $xy$-plane,  $yz$-plane divide $AB$ in the ratios $a:b,p:q$ respectively then $\dfrac{a}{b}+\dfrac{p}{q}$=

If $z = \cos \dfrac{\pi }{6} + i\sin \dfrac{\pi }{6}$, then

The x-coordinate of a point on the line joining the points $P(2,2,1)$ and $Q(5,1,-2)$ is $4$. Find its z-coordinate.

The distance between (5,1,3) and the line x=3, y=7+t, z=1+t is

The perimeter of triangle with vertices at $(1,0,0) , (0,1,0) and (0,0,1)$ is :

If the points $A(9, 8, -10), B(3, 2, -4)$ and $C(5, 4, -6)$ be collinear, then the point $C$ divides the line $AB$ in the ratio