रिक्त स्थानों को भरे-
`x(a -b) + y(a -b) + z (a-b) = (….) (x+ y + z)`

If a + b + c != 0 then the number solutions (x,y,z) to the system (b + c)(y + z) - ax = b - c (c + a)(z + x) - by = c - a (a + b) (x + y) - cz = a - b is

If x/(b +c) = y/(c+a) = z/(a + b) , then show that a/(y+z-x) = b/(z+x - y) = c/(x + y - z) .

(a) Find x+y+z (b) Find x+y+z+w

a/(y-z) = b/(z-x) = c/(x-y) then ax + by + cz =___

If x = y^(a), y = z^(b) and z = x^(c), compute abc.

Prove that |a x-b y-c z a y+b x c x+a z a y+b x b y-c z-a x b z+c y c x+a z b z+c y c z-a x-b y|=(x^2+y^2+z^2)(a^2+b^2+c^2)(a x+b y+c z)dot

Prove that |a x-b y-c z a y+b x c x+a z a y+b x b y-c z-a x b z+c y c x+a z b z+c y c z-a x-b y|=(x^2+y^2+z^2)(a^2+b^2+c^2)(a x+b y+c z)dot