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Question

If a line OP through the origin O makes angles of 30o,45 and 60 with x,yandz axis respectively then the direction cosines of OP are

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Solution

Given line OP makes an angles of 30o,45o and 60o
with x,y and zaxis respectively

Then direction cosines of a line making angle α with
Xaxis ,β with yaxis and y with zaxis are l,m,n

l=cosα , m=cosβ , n=cosγ

l=cos30o ,m=cos45o , n=cos60o

l=32 , m=12, n=32

1096959_1165576_ans_4be860ac90c644978ead737525106400.png

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