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TextSkew Lines in Three Dimensional GeometryCBSE PYQ

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Show that the following lines do not intersect each other : (x - 1)/3 = (y + 1)/2 = (z - 1)/5; (x + 2)/4 = (y - 1)/3 = (z + 1)/(-2)

TextCartesian Equation of a Line in Three DimensionsSkew Lines in Three Dimensional Geometry

Electrical transmission wires which are laid down in winters are stretched tightly to accommodate expansion in summers.

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Cartesian Equation of a Line in Three Dimensions

Skew Lines in Three Dimensional Geometry

If a line makes 60° and 45° angles with the positive directions of x-axis and z-axis respectively, then find the angle that it makes with the positive direction of y-axis. Hence, write the direction cosines of the line.

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Check whether the lines (x – 1)/2 = (y – 2)/3 = (z – 3)/4 and (x – 4)/5 = (y – 1)/2 = z are skew or not.

TextDirection Cosines of a LineSkew Lines in Three Dimensional Geometry

Show that the lines : (1−x)/2 = (y−3)/4 = z/(−1) and (x−4)/3 = (2y−2)/(−4) = z−1 are coplanar.

TextSkew Lines in Three Dimensional Geometry