K. C. Sinha and Abhishek Chandra Solutions for Exercise 2: EXERCISE

Two lines not lying in the same plane are called:

The area of the quadrilateral having vertices $(0, 4, 1)$, $(2, 3, -1)$, $(4, 5, 0)$ and $(2, 6, 2)$ is:

A parallelepiped is formed by planes drawn through the points $(1, 2, 3)$ and $(9, 8, 5)$ parallel to the coordinate planes. The length of its diagonal is equal to:

The $XY$-plane divides the line segment joining $(1, 2, 3)$ and $(-3, 4, -5)$ :

The coordinates of the point where the line joining $P (3, 4, 1)$ and $Q (5, 1, 6)$ crosses the $XY$-plane are:

The plane $XOZ$ divides the line joining points $(1, -1, 5)$ and $(2, 3, 4)$ in the ratio $\lambda : 1$. Then $\lambda$ is equal to:

The coordinates of the point which divides the line segment joining the points $(5, 4, 2)$ and $(-1, -2, 4)$ in the ratio $2:3$ externally is :

The ratio in which the line joining $(2, 4, 5), (3, 5, -4)$ is divided by the ZY-plane is :