# simultaneous vector equations

Solve the simultaneous vector equations for r:

r x a=b, r â?¢ c=a, given that a â?¢ b=0

and a is not equal to 0. Distinguish between the cases a â?¢ c is not equal to 0 and

a â?¢ c=0.

Note: r x a is the cross product resulting in a vector b and r â?¢ c is the dot product resulting in a scalar a.

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#### Solution Summary

Simultaneous vector equations are clearly evaluated in this case.

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