Given that vector A=3i + j + k, B=2i - j +2k and C=i + j + k
(a) Find a unit vector normal to the plane containing vector A+B and A+C
(b) Find the unit vector normal to the plane containing vector A+(A+B)B and C
(c) Why is the unit vector normal to the plane containing A and B parallel to the vector normal plane containing (A•B)A and (B•C)B
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