Problem:
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.