Write the direction cosines of the vector ...

CBSE Class 12 Math 2011 Solved Paper

Question : 9 of 29

Marks: +1, -0

Write the direction cosines of the vector

-2i↖{\^}+j↖{\^}-5k↖{\^}

Solution:

The direction cosines of the given vector

-2i↖{\^}+j↖{\^}-5k↖{\^}

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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