Angles between two lines `alpha-beta`

Find Angle between two line x sinalpha+ycosalpha=p_(1) and x sin B +ycosB=p_(2)" "(alpha gt beta)

The angle between the lines x cos alpha + y sin alpha = a and x sin beta - y cos alpha = a is

The angle between the lines x cos alpha+y sin alpha=p_(1) and x cos beta+y sin beta=p_(2) when alpha>beta

The angle between the lines x cos alpha + y sin alpha=p_(1) and x cos beta+y sin beta=p_(2) where alpha gt beta is

The angle between the lines x cos alpha+y sin alpha=p_(1) and x cos beta +y sin beta=p_(2) where alpha gt beta is

The angle between the lines x cos alpha+y sin alpha=a and x sin beta-y cos beta=a is (i)beta-alpha(ii)pi-alpha-beta(iii)(pi)/(2)-beta-alpha(iv)(pi)/(2)-

In XeF_(2) , molecule the angle between two lone pair orbitals is alpha , the angle between lone pair orbital and bond pair orbital is beta and the angle between bond pair orbitals is gamma :

If alpha and beta are two nonzero and different vectors such that |vec alpha + vec beta| = |vec beta - vec alpha| then the angle between the vectors vec alpha and vec beta is