`|(p+x,q+x,r+x),(q+x,r+x,p+x),(r+x,p+x,q+x)|=0`

det[[p+x,q+x,r+xq+x,r+x,p+xr+x,p+x,q+x]]=0

Let p, q, r be three mutually perpendicular vectors of the same magnitude. If a vector x satisfies th equation p x((x-q) x p) +q x ((x-r)xq)+rx ((x-p) x r)=0 Then x is given by :

Let p, q, r be three mutually perpendicular vectors of the same magnitude. If a vector x satisfies th equation p x((x-q) x p) +q x ((x-r)xq)+rx ((x-p) x r)=0 Then x is given by :

If p,q,r are in A.P. Write the value of : |{:(x+1,x+2,x+p),(x+2,x+3,x+q),(x+3,x+4,x+r):}|

If p(x) ,q(x) and r(x) are three polynomials of degree 2, then |{:(p(x),q(x),r(x)),(p'(x),q'(x),r'(x)),(p''(x),q''(x),r''(x)):}| is ………….of x .

If p(x) ,q(x) and r(x) and three polynomials of degree 2, then |{:(p(x),q(x),r(x)),(p'(x),q'(x),r'(x)),(p''(x),q''(x),r''(x)):}| is ………….of x .

If [[ p , q-y , r-z],[ p-x , q , r-z ],[ p-x , q-y , r ]]=0 , then (p)/(x)+(q)/(y)+(r)/(z)=