Let M and N are feet of perpendiculars from P to x-z and x-y plane respectibely. If OP makes `theta, alpha, beta, gamma`with
plane OMN and the co-ordinate planes respectively such that `7 + cot^(2)theta= cot^(2) alpha + cot^(2) beta + cot^(2) gamma +k` , then
find k.

P is a point and P Ma n dP N are the perpendicular form Ptoz-xa n dx-y planes. If O P makes angles theta,alpha,betaa n dgamma with the plane O M N and the x-y ,y-za n dz-x planes, respectively, then prove that cos e c^2theta=cos e c^2alpha+cos e c^2beta+cos e c^2gammadot

Find the the image of the point (alpha, beta, gamma) with respect to the plane 2x+y+z=6 .

A vector makes angles alpha,beta "and" gamma with the X,Y and Z axes respectively . Find the value of the expression (sin^(2)alpha+sin^(2)beta+sin^(2)gamma)/(cos^(2)alpha+cos^(2)beta+cos^(2)gamma)

If a vector vec(A) make angles alpha , beta and gamma , respectively , with the X , Y and Z axes , then sin^(2) alpha + sin^(2) beta + sin^(2) gamma =

If a vector makes angles alpha,beta,gamma. with . OX ,O Ya n dO Z respectively, prove that sin^2alpha+sin^2beta+sin^2gamma=2.

Vector vecP angle alpha,beta and gamma with the x,y and z axes respectively. Then sin^(2)alpha+sin^(2)beta+sin^(2)gamma=

If vec(A) makes an angle alpha, beta and gamma from x,y and z axis respectively then sin^(2)alpha+sin^(2) beta+sin^(2) gamma=

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

If alpha, beta and gamma are angles made by the line with positive direction of X-axis, Y-axis and Z-axis respectively, then find the value of cos2alpha+cos2beta+cos2gamma .

If a line makes angle "alpha","beta\ and\ gamma" with the coordinate axes, find the value of "cos"2"alpha"+"cos"2"beta"+"cos"2"gamma"dot