I get the message "Wolfram|Alpha doesn't understand your query" when I try to input this equation:
a+x+g=0, b+y+h=0, c+z+j=0, a2+b2+c2=R2, x2+y2+z2=R2, g2+h2+j2=R2, R=1, x=1
It's a 3 variables 3 equations system about 3 vectors (x,y,z), (a,b,c), (g,h,j), distributed in a 3d sphere.
The constraints are radius = 1 and x = 1.
I want to solve it for y,z; a,b,c and g,h,j.
Can someone explain to me why Wolfram|Alpha isn't understanding the input?
If I have correctly understood your problem, you should type:
a+x+g=0, b+y+h=0, c+z+j=0, a^2+b^2+c^2=R^2, x^2+y^2+z^2=R^2, g^2+h^2+j^2=R^2, R=1, x=1
The R=1 and x=1 appear to confuse WolframAlpha.
solve a+1+g=0, b+y+h=0, c+z+j=0, a^2+b^2+c^2=1, 1+y^2+z^2=1 for real y
will have WolframAlpha solve for real values of y and solve for all the other variables at the same time.