1.

Find the direction cosines of the line passing through the two points `( 2, 4, 5)`and `(1, 2, 3)`.

Answer» (x_1,y_1,z_1)=A and (x_2,y_2,z_2)=B
dintance between A and B
AB=`sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1))`
=`sqrt(9+4+64)`
=`sqrt77`
`(l,m,n)=((x_2-x_1)/(AB),(y_2-y_1)/(AB),(z_2-z_1)/(AB))`
after putting the values
=`(3/sqrt77,2/sqrt77,8/sqrt77)`


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