Subject Experts Solutions for Chapter: Three Dimensional Geometry, Exercise 1: Practice Exercise

What are the direction cosines of a line which is equally inclined to the positive directions of the axes?

What is the angle between the planes $2x-y-2z+1=0$ and $3x-4y+5z-3=0$?

If the straight line $\frac{x-x_0}{l}=\frac{y-y_0}{m}=\frac{z-z_0}{n}$ is parallel to the plane $ax+by+cz+d=0$, then which one of the following is correct?

The lines $2x=3y=-z$ and $6x=-y=-4z$

The radius of the sphere $3x^2+3y^2+3z^2-8x+4y+8z-15=0$ is

The direction ratios of a line perpendicular to the lines with direction ratios and are

What are the coordinates of foot of the perpendicular drawn from the point $\left(3,5,4\right)$ on a plane $z=0?$

The lengths of the intercepts on the coordinate axes made by the plane $5x+2y+z-13=0$ are