True/False:
(1) A given line in space can be extended in two opposite directions and so it has two sets of direction cosines.
(2) Any two sets of direction cosines of a line are also proportional.
(3) A line is uniquely determined if it passes through a given point and has given direction.
(4) For skew lines, the line of the shortest distance will be perpendicular to both the lines.
(5) ax + by + cz = d is the vector equation of the plane, where a, b and c are the direction cosines of the normal to the plane.
