Which are the solutions of the quadratic equation? x2 = 7x + 4
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Take the cross product of both sides of 
with 
to generate a system of three simultaneous equations.
since
for any vector 
.
Finally, use the fact that the cross product is anticommutative, i.e.
. The conclusion follows.
since
Finally, use the fact that the cross product is anticommutative, i.e.