x, y ও z -এর মান নির্ণয় করো যখন ` ((x+y,2),(1,0)) = ((2,x-z),(2x-y,0))`

Solve for x, y and z, if {:((x+y,2),(1,0))={:((2,x-z),(2x-y,0)):}

If [(x-y,2x-y),(2x+z,3z+w)]=[(-1,0),(5,13)]

If ((x+3,2y+x),(z-1,4a-z))=[(0,-7),(3,2a)] then x+y+z+a=

If x,y,z gt 0 and x + y + z = 1, the prove that (2x)/(1 - x) + (2y)/(1 - y) + (2z)/(1 - z) ge 3 .

If x,y,z gt 0 and x + y + z = 1, the prove that (2x)/(1 - x) + (2y)/(1 - y) + (2z)/(1 - z) ge 3 .

x-2y+z=0 y-z=2 2x-3z=10

If x, y, z are all distinct and |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(3))|=0 then value of x y z is :

Solve the system: x + y - 2z = 0, 2x - 3y + z = 0, 3x - 7y + 10z = 0, 6x - 9y + 10z = 0.

Find x, y, z when [(x-y,2x+z),(2x-y,3z+w):}]=[{:(-1,5),(0,13):}].

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)