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RD Chapter 27 Direction Cosines and Direction Ratios Ex 27.1 Solutions

Question - 1 : -

If aline makes angles of 90°, 60° and 30° with the positive direction of x,y and z-axis respectively, find itsdirection cosines.

Answer - 1 : -

Let l,m and n be the direction cosines of a line.

l = cos 90° =0


Question - 2 : -

If aline has direction ratios 2, -1, -2, determine its direction cosines.

Answer - 2 : -


Question - 3 : -

Findthe direction cosines of the line passing through two points (-2, 4, -5) and(1, 2, 3).

Answer - 3 : -


Question - 4 : -

Usingdirection ratios show that the points A (2,3, -4), (1,-2, 3) and (3,8, -11) are collinear.

Answer - 4 : -


Question - 5 : -

Findthe direction cosines of the sides of the triangle whose vertices are (3, 5,-4), (-1, 1, 2) and (-5, -5, -2)

Answer - 5 : -


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Question - 10 : -

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