Question 1089497
{{{u }}}= <{{{8}}}, {{{7}}}>,{{{ v}}} = <{{{9}}}, {{{7}}}>

 {{{u*v =abs(abs(u)) abs(abs(v)) cos(theta)}}}   ............{{{abs(abs(u))}}} and {{{abs(abs(v))}}} are the length of vectors {{{u}}} and {{{v}}}

{{{u*v}}} = <{{{8}}}, {{{7}}}>*<{{{9}}}, {{{7}}}>=>{{{8*7+9*7=56+63=119}}}


{{{abs(abs(u)) = sqrt(8^2+7^2)=sqrt(113)}}}
{{{abs(abs(v))=sqrt(9^2+7^2)=sqrt(130)}}}

{{{u*v = abs(abs(u))* abs(abs(v)) cos(theta)}}}

{{{119 = sqrt(113) *sqrt(130) cos(theta)}}}

{{{cos(theta) = 119/(sqrt(113) *sqrt(130))}}}

{{{cos(theta) = 119/sqrt(14690)}}}

{{{theta = cos^-1(119/sqrt(14690)) }}}

{{{theta =10.9}}}°