Three-dimension...

Skew lines are lines in different planes which are

If a line has the direction ratios –18, 12, –4, then what are its direction cosines ?

Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.

Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to the vector

In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them. 2x –y + 3z –1 = 0 and 2x –y + 3z + 3 = 0

Angle between skew lines is

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector

The equation of a plane through a point whose position vector is    perpendicular to the vector   . is

Find the Cartesian equation of the plane  

In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them. 4x + 8y + z –8 = 0 and y + z –4 = 0