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What is the angle between $<7 , 3 , -3 >$ and $< 8 , 6 , 8 >$ ?

1 Answer

Apr 15, 2016

$theta~~61.51^@$

Explanation:

Use formula
$costheta=(a*b)/(|a||b|)$

$cos theta=(<7,3,-3>*<8,6,8>)/(sqrt(7^2+3^2+(-3)^2)sqrt(8^2+6^2+8^2)$

$costheta=(56+18-24)/(sqrt67sqrt164)$

$costheta=50/(sqrt10988$

$theta=cos^-1(50/(sqrt10988))$

$theta~~61.51^@$

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