`veca, vecb and vecc` are unit vectors such that `|veca+vecb+3vecc|=k` then the maximum value of k is

If veca,vecbandvecc are unit vectors such that veca+vecb+vecc=0 , then the value of veca.vecb+vecb.vecc+vecc.veca is

Let veca, vecb and vecc be unit vector such that veca + vecb - vecc =0 . If the area of triangle formed by vectors veca and vecb is A, then what is the value of 4A^(2) ?

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

If (veca xx vecb) xx vecc = veca xx (vecb xx vecc) where veca, vecb and vecc are any three vectors such that veca.vecb =0, vecb.vecc=0 then veca and vecc are:

Let vea, vecb and vecc be unit vectors such that veca.vecb=0 = veca.vecc . It the angle between vecb and vecc is pi/6 then find veca .

If veca, vecb, vecc are unit vectors such that veca. Vecb =0 = veca.vecc and the angle between vecb and vecc is pi/3 , then find the value of |veca xx vecb -veca xx vecc|

If two out to the three vectors , veca, vecb , vecc are unit vectors such that veca + vecb + vecc =0 and 2(veca.vecb + vecb .vecc + vecc.veca) +3=0 then the length of the third vector is

If veca,vecb and vecc are three vectors such that |veca|= 3, |vecb|=4 and |vecc|=sqrt(24) and sum of any two vectors is orthogonal to the third vector , then find |veca+vecb+vecc| is equal to k.Find k .

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|