If `x=c y+b z ,y=a z+c x ,z=x+a y ,w h e r ex ,y ,z` are not all zeros, then find the value of `a^2+b^2+c^2+2a b c dot`

If x=c y+b z ,y=a z+c x ,z=bx+a y ,w h e r ex ,y ,z are not all zeros, then find the value of a^2+b^2+c^2+2a b c dot

If x=c y+b z ,y=a z+c x ,z=x+a y ,w h e r e .x ,y ,z are not all zeros, then find the value of a^2+b^2+c^2+2a b c dot

If x=c y+b z ,y=a z+c x ,z=bx+a y ,w h e r e .x ,y ,z are not all zeros, then find the value of a^2+b^2+c^2+2a b c dot

Given a=x//(y-z), b=y//(z-x),a n dc=z//(x-y),w h e r ex , y , za n dz are not all zero, then the value of a b+b c+c a is 0 b. 1 c. -1"" d. none of these

If the planes x-c y-b z=0,c x-y+a z=0a n d b x+a y-z=0 pass through a straight line, then find the value of a^2+b^2+c^2+2a b c dot

Given a=x//(y-z), b=y//(z-x), and c=z//(x-y),w h e r e .x , y and z are not all zero, then the value of a b+b c+c a is a. 0 b. 1 c. -1"" d. none of these

Given a=x//(y-z), b=y//(z-x), and c=z//(x-y),w h e r e .x , y and z are not all zero, then the value of a b+b c+c a is a. 0 b. 1 c. -1"" d. none of these

Given a=x/(y-z),b=y/(z-x), and c=z/(x-y), where x,y,z and are not all zero,then the value of ab+bc+ca is 0 b.1 c.-1 none of these

If the equation of plane containing the line x-y+z=0a n dx+y+z-2=0 and which is farthest from origin is a x+b y+c z=d ,w h e r ea , b ,c ,d in N , then find the minimum value of (a+b+c+d)dot

If x= (a//b) + (b//a), y= (b//c) + (c//b) and z= (c//a) + (a//c) , then what is the value of xyz - x^(2)- y^(2)- z^(2) ?