If `alpha+beta+gamma =2 and veca=alphahati+betahatj+gammahatk, hatkxx (hatkxxveca)=vec0` ,then `gamma`= A) 1 (B) -1 (C) 2 (D) none of these

If 2 sin alpha cos beta sin gamma=sin beta sin(alpha+gamma) then tan alpha , tan beta, tan gamma are in A) A.P.B) G.P.C) H.P.D) None of these

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then (a) sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma = (3) / ( 2) (b) sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma = (3) / (4) (c) cos ^ (alpha) + cos ^ (2) beta + cos ^ (2) gamma = (3) / (2) (d) cos ^ (2) alpha + cos2 beta + cos2 gamma = -1

If alpha+beta+gamma are the angle which a half ray makes with the positive direction of the axes then sin^2alpha+sin^2beta+sin^2gamma= (A) 1 (B) 2 (C) 0 (D) -1

If alpha,beta,gamma,in(0,(pi)/(2)), then prove that (si(alpha+beta+gamma))/(sin alpha+sin beta+sin gamma)<1

The value of expression of (alpha tan gamma+beta cot gamma)(alpha cot gamma+beta tan gamma)-4 alpha beta cot^(2)2 gamma depends on alpha(b)beta(c)gamma(d) none of these

A point (alpha, beta, gamma) satisfies the equation of the plane 3x+4y+7z=3. The value of beta , such that vecp=alphahati+betahatj+gammahatk satisfies the relation hatjxx(hatjxxvecp)=vec0 , is equal to

If a line makes angles alpha,beta,gamma with the axes respectively tehn cos2alpha+cos2beta+cos2gamma= -2 b. -1 c. 1 d. 2

if vec alpha|(vec beta xxvec gamma), then (vec alpha xx beta)*(vec alpha xxvec gamma) equals to |vec alpha|^(2)(vec beta*vec gamma) b.|vec beta|^(2)(vec gamma*vec alpha) c.|vec gamma|^(2)(vec alpha*vec beta) d.|vec alpha||vec beta||vec gamma|

If (tan(alpha+beta-gamma))/(tan(alpha-beta+gamma))=(tan gamma)/(tan beta),(beta!=gamma) then sin2 alpha+sin2 beta+sin2 gamma=(a)0(b)1(c)2(d)(1)/(2)