Introduction to...

The image of the point \(P(1,3,4)\) in the plane \(2 x-y+z=0\) is:

The projections of a directed line segment on the coordinate axes are \(12,4,3\). The DCS of the line are:

If lines \(\frac{x-1}{-3}=\frac{y-2}{2 k}=\frac{z-3}{2}\) and \(\frac{x-1}{3 k}=\frac{y-5}{1}=\frac{z-6}{-5}\) are mutually perpendicular, then \(k\) is equal to:

The distance between the circumcentre and the orthocentre of the triangle formed by the points (2,1,5), (3,2,3) and (4,0,4) is:

What is the equation to the plane through (1, 2, 3) parallel to 3x + 4y - 5z = 0?

The point equidistant from the points O\((0,0,0), A(a,0,0), B(0,b,0)\) and C \((0,0,c)\) has the coordinates:

The ratio in which the line joining points (2,4,5) and (3,5,−4) divide YZ -plane is:

Find the angle between the line \(\frac{x-1}{3}=\frac{y+1}{-1}=\frac{z-3}{2}\) and the plane \(3 x+4 y+z+5=0\).

The coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the YZ plane is:

The points \(A (1,2,-1), B (2,5,-2), C (4,4,-3)\) and \(D (3,1,-2)\) are: