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Question

If 12, 13, n are the direction cosines of a line, then the values of n are ________________.


Solution

Let us suppose, l=12, m=13 and n = n are the direction cosines of a line then l2 + m2 + n= 1
i.e 122+132+n2=1i.e 14+19+n2=1i.e n2=1-14-19i.e n2=36-9-436i.e n2=2336i.e n=±236i.e n=±236

Mathematics
RD Sharma XII Vol 2 (2019)
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