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CBSE Class 12 Math 2011 Solved Paper

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Question : 9
Total: 29
Write the direction cosines of the vector −2
^
i
+
^
j
−5
^
k
Solution:  
The direction cosines of the given vector −2
^
i
+
^
j
−5
^
k
 is given by
(
−2
√(−2)2+(1)2+(−5)2
,
1
√(−2)2+(1)2+(−5)2
,
−5
√(−2)2+(1)2+(−5)2
)

= (
−2
√30
,
1
√30
,
−5
√30
)
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