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If #A = <5 ,4 ,8 >#, #B = <2 ,-7 ,6 ># and #C=A-B#, what is the angle between A and C?

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Jun 18, 2018

Answer:

#theta = arccos frac{75}{sqrt 14070}#

Explanation:

#C = ((3), (11), (2)), A = ((5), (4), (8))#

#A * C = |A| * |C| * cos theta#

#cos theta = frac{15+44+16}{sqrt{25+16+64} sqrt{9+121+4}}#

#cos theta = frac{75}{sqrt{3*5*7*2*67}}#

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