The value of `|(y+z,x,x),(y,z+x,y),(z,z,x+y)|` is

Select and write the correct answer from the given alternatives in each of the following:The value of |(x+y,z,z),(x,y+z,x),(y,y,z+x)| is

The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=

Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz

The value of |(x +y,y+z,z+x),(x,y,z),(x -y,y-z,z-x)| is euqal to

Let x, y, z are distinct cube roots of unity and the value of |[x,y-z,z-y],[x-z,y,z-x],[x-y,y-x,z]|=K then |K|

The repeated factor of the determinant |(y +z,x,y),(z +x,z,x),(x +y,y,z)| , is

Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonzero real number, is equal to a. x y z b. 2x y z c. 3x y z d. 4x y z

Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonzero real number, is equal to a. x y z b. 2x y z c. 3x y z d. 4x y z

Value of |(x+y,z,z),(x,y+z,x),(y,y,z+x)| where x , y ,z are non - zero real number is equal to a)xyz b)2xyz c)3xyz d)4xyz

If A = {x, y, z}, then the relation R={(x,x),(y,y),(z,z),(z,x),(z,y)} , is