1.

A straight line `L`on the xy-plane bisects the angle between `O Xa n dO Ydot`What are the direction cosines of `L ?`a. ``b. ``c. ``d. ``A. `lt(1//sqrt2),(1//sqrt2),0gt`B. `lt(1//2),(sqrt3//2),0gt`C. `lt0,0,1gt`D. `lt(2//3),(2//3),(1//3)gt`

Answer» Correct Answer - a
The given line makes angles of `pi//4, pi//4 and pi//2` with the `x-, y- and z-`axes, respectively.
Hence, direction cosines of the given line are
`" "cos(pi//4), cos(pi//4) and cos(pi//2)`, or
`" "(1//sqrt2), (1//sqrt2)` and 0.


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