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Three Dimensional Geometry

Question

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Find the direction cosines of the line joining the points (2, 1, 2) and (4, 2, 0).

Solution

The direction ratios of the line joining (2, 1, 2) and (4, 2, 0) are 4 – 2, 2 – 1, 0 – 2 i.e., 2, 1, –2 i.e.,
Dividing each by

square root of left parenthesis 2 right parenthesis squared plus left parenthesis 1 right parenthesis squared plus left parenthesis negative 2 right parenthesis squared end root space equals space 3 comma

the direction-cosines of the line are

2 over 3 comma space 1 third comma space minus 2 over 3.

Some More Questions From Three Dimensional Geometry Chapter

Find the direction cosines of x, y and z-axis.

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