Let `veca.vecb=0` where `veca and vecb` are unit vectors and the vector `vecc` is inclined an anlge `theta` to both `veca and vecb. If vecc=mveca+nvecb + p(veca xx vecb) , (m,n,p in R)` then

Unit vectors veca and vecb ar perpendicular , and unit vector vecc is inclined at an angle theta to both veca and vecb . If alpha veca + beta vecb + gamma (veca xx vecb) then.

Unit vector vecc is inclined at an angle theta to unit vectors veca and vecb which are perpendicular. If vecc=lambda(veca+vecb)+mu(veca xx vecb), lambda, mu real, then theta belongs to:

If veca,vecb and vecc are unit vectors such that veca + vecb + vecc= 0 , then prove that veca.vecb+vecb.vecc+vecc.veca=-3/2

If veca , vecb , vecc are unit vectors such that veca+ vecb+ vecc= vec0 find the value of (veca* vecb+ vecb* vecc+ vecc*veca) .

Vectors veca, vecb, vecc are three unit vectors and vecc is equally inclined to both veca and vecb . Let veca xx (vecb xx vecc) + vecb xx (vecc xx veca) =(4+x^(2))vecb-(4xcos^(2)theta)veca , then veca and vecb are non-collinear vectors, x gt 0

Let vecA, vecB and vecC be unit vectors such that vecA.vecB = vecA.vecC=0 and the angle between vecB and vecC " be" pi//3 . Then vecA = +- 2(vecB xx vecC) .

Let 2veca = vecb xx vecc + 2vecb where veca, vecb and vecc are three unit vectors, then sum of all possible values of |3veca + 4vecb + 5vecc| is

Let veca and vecb be two unit vectors such that veca.vecb=0 . For some x,y in R , let vecc = xveca + yvecb + (veca xx vecb) . If |vecc|=2 and the vector vecc is inclined at the same angle angle to both veca and vecb , then the value of 8cos^(2)alpha is________________

Let veca, vecb and vecc are three unit vectors in a plane such that they are equally inclined to each other, then the value of (veca xx vecb).(vecb xx vecc) + (vecb xx vecc). (vecc xx veca)+(vecc xx veca). (veca xx vecb) can be

If veca, vecb, vecc are any three vectors such that (veca+vecb).vecc=(veca-vecb)vecc=0 then (vecaxxvecb)xxvecc is