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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?

1 Answer

Vinícius Ferraz

Jun 18, 2018

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

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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