If `sinq!=cosq` and `x,y,z` satisfies the following three equations then find the value of `x^2+y^2+z^2`

If sin q!=cos q and x,y,z satisfies the following three equations then find the value of x^(2)+y^(2)+z^(2)

If matrix A=[02 y z x y-zx-yz] satisfies AT = A-1, then find the value of x, y, z.

Solve the following linear equations by using Cramer's Rule. x+y+z=6,x-y+z=2,x+2y-z=2

Consider the following system of linear equations, x+y+z=6 , x-y+z=2 , 2x+y+z=1 Find the value of x,y and z satisfying the above equation.

If x,y and z are three unit vectors in three dimensional space,then the minimum value of |x+y|^(2)+|y+z|^(2)+|z+x|^(2)=

Solve the following equations by matrix method.x+y+2z=4,x+2y+z=1 and x+y+z=2

If x and y and z satisfy the given system of equations x^(2)+y^(2)+z^(2)=133,y+z-x=7,yz=x then the value of x+y+z is :

Show that the following system of equations is consistent. x-y+z=3,2x+y-z=2,-x-2y+2z=1

Solve the following system of equations: x-y+z=4,\ \ \ \ x-2y-2z=9,\ \ \ \ 2x+y+3z=1

If x+y+z=12 and x^2+y^2+z^2=96 and 1/x+1/y+1/z=36 , then find the value of x^3+y^3+z^3