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How to solve this?: F = vector([cos(alpha),sin(alpha),z]) G = vector([z,cos(alpha),sin(alpha)]) A = vector([0,0,0]) solve(F-G == A)

Answer must be:

[cos(asin(cos(alpha))), sin(asin(cos(alpha))), sin(alpha)]

How to solve this?: this?:

F = vector([cos(alpha),sin(alpha),z]) vector([cos(alpha),sin(alpha),z])

G = vector([z,cos(alpha),sin(alpha)]) vector([z,cos(alpha),sin(alpha)])

A = vector([0,0,0]) vector([0,0,0])

solve(F-G == A)

Answer must be:

[cos(asin(cos(alpha))), sin(asin(cos(alpha))), [cos(asin(cos(alpha))),

sin(asin(cos(alpha))),

sin(alpha)]

How to solve this?:

F = vector([cos(alpha),sin(alpha),z])
 
vector([cos(alpha),sin(alpha),z])
G = vector([z,cos(alpha),sin(alpha)])
 
vector([z,cos(alpha),sin(alpha)])
A = vector([0,0,0])vector([0,0,0])    
solve(F-G == A)A)

[cos(asin(cos(alpha))),
sin(asin(cos(alpha))),
sin(alpha)]