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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 C (1√6,1√6,2√6)The direction cosines are given by l=aâˆša2+b2+c2,m=bâˆša2+b2+c2,n=câˆša2+b2+c2 where (a, b, c) are direction ratios Here a, b, c are 1, 1, 2 respectively. Therefore, l=1âˆš12+12+22, l=1âˆš6m=1âˆš12+12+22, m=1âˆš6n=2âˆš12+12+22, n=2âˆš6 D.C.'s of the line are(1âˆš6,1âˆš6,2âˆš6)

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