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Vectors with symbolic entries are not themselves "symbolic", so you can't put them in places where symbolic equations are expected:

sage: v2.cross_product(v3)==0
False

You can work around that, though:

sage: solve(v2.cross_product(v3).list() + [v1.dot_product(v3)==1440],x,y,z)
[[x == -324, y == -144, z == 216]]