Given that a 3i j k b 2i - j 2k and c i j k find a


Question: Given that a = 3i + j + k, b = 2i - j + 2k, and c = i + j + k, find

(a) a vector normal to the plane containing the vectors a + (a · b)b and c and,

(b) explain why the normal to a plane containing the vectors a and b and the normal to a plane containing the vectors (a · b)a and (b · c)b are parallel.

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Mathematics: Given that a 3i j k b 2i - j 2k and c i j k find a
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