If a line makes angles $α$ , $β$ and $γ$ with the positive direction of x, y, & z axes respectively, then what will be the direction cosines of this line?

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Solution

The correct option is B
We have seen that If $α$ , $β$ and $γ$ are the angles which a vector OP makes with the positive directions of the coordinate axes OX, OY, OZ respectively, then $c o s α$ , $c o s β$ and $c o s γ$ are known as direction cosines of OP and generally denoted by letters l,m and n respectively.
Thus,I= $c o s α$ , m= $c o s β$ & n= $c o s γ$ .

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If a line makes angles α ,β and γ with the positive direction of x, y, & z axes respectively, then what will be the direction cosines of this line?

If a line makes angles $α$ , $β$ and $γ$ with the positive direction of x, y, & z axes respectively, then what will be the direction cosines of this line?