Straight Line in Space

Three Dimensional Geometry of Class 12

STRAIGHT LINE IN SPACE

Equation of straight line

Line passing through a given point

Vector equation of a straight line passing through a fixed point (with position vector Straight Line in Space) and parallel to a given vector Line passing through two given points is Line =Straight Line in Space + λLine passing through two given points, where λ is a scalar.

The cartesian equation of a straight line passing through a fixed point (x1, y1, z1) and having direction ratios a, b, c is Straight Line in Space = Line = Straight Line in Space.

Line passing through two given points

The vector equation of line passing through two given points (with position vector Straight Line in Space and Line passing through two given points) is Straight Line in Space.

The Cartesian equation of a line passing through two given points (x1, y1, z1) and (x2, y2, z2) is given by Line.

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