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Question

If the direction ratios of a line are (1, 1, 2), then find the direction cosines of the line.

A
(1,1,2)
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B
(0,16,16)
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C
(16,16,26)
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D
(16,16,16)
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Solution

The correct option is D (16,16,26)
The direction cosines are given by
l=aa2+b2+c2,m=ba2+b2+c2,n=ca2+b2+c2
where (a, b, c) are direction ratios
Here a, b, c are 1, 1, 2 respectively.
Therefore,
l=112+12+22, l=16m=112+12+22, m=16n=212+12+22, n=26
D.C.'s of the line are(16,16,26)

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