Direction cosines of a line , for which ` alpha = beta and gamma = 45^(@)`

If alpha,beta ,gamma are direction angles of a line , then cos 2alpha + cos 2beta + cos 2 gamma =

Statement 1: If cos alpha,cos beta, and cos gamma are the direction cosines of any line segment,then cos^(2)alpha+cos^(2)beta+cos^(2)gamma=1. Statement 2: If cos alpha,cos beta,and cos gamma are the direction cosines of any line segment,then cos2 alpha+cos2 beta+cos2 gamma=1

If the direction angles of a line are alpha, beta and gamma respectively, then cos 2 alpha + cos 2 beta + cos 2gamma is equal to

The direction angles of the line x=4z+3, y=2-3z are alpha, beta and gamma , then cos alpha +cos beta+ cos gamma = ____

If cos alpha, cos beta, cos gamma are the direction cosines fo a vector veca, then cos 2alpha + cos 2beta + cos 2gamma is equal to

If alpha, beta, gamma are direction angles of a line and alpha = 60^(@), beta = 45^(@) , then gamma =_________

If cosalpha, cosbeta, cosgamma be the direction cosines of a line, prove that sin^(2)alpha+sin^(2)beta+sin^(2)gamma=2 .

If direction angles of a line are alpha, beta, gamma such that alpha+beta=90^(@) , then (cos alpha+cos beta+cos gamma)^(2)=

If (l,m,n) are the direction cosines of a line then cos^(2)alpha+cos^(2)beta+cos^(2)gamma=