The direction cosines of the line which bisects the angle between positive direction of Y and Z axis are

Explanation

Let `alpha, beta, gamma,` be the angles made by the line with the positive directions of X-,Y-axes respectively.
Since the line bisects the angle between positive directions of Y-and Z-axes, it lies in YZ-plane.
`therefore` the line is perpendicular to X-axis.
`therefore alpha = 90^(@), beta = 45^(@), gamma = 45^(@)`
If l, m, n are the direction cosines of the line, then
`l = cos alpha = cos 90^(@) = 0`
`m = cos beta = cos 45^(@) = (1)/(sqrt(2))`
`n = cos gamma = cos 45^(@) = (1)/(sqrt(2))`
Hence, the direction cosines of the line are `0, (1)/(sqrt(2)), (1)/,(sqrt(2))`.