Mathematics: Let v1 = (2, -6) and v2 = (-4, 7). compute the unit vectors in the direction of |v1| and |v2|

Let v1 = (2, -6) and v2 = (-4, 7). compute the unit

Ответ:

mazielynn84

04.01.2022

$\bf \textit{unit vector}
\\\\
\cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}}\ ,\ \cfrac{b}{\sqrt{a^2+b^2}}\\\\
-------------------------------\\\\
\cfrac{\ \textless \ 2,-6\ \textgreater \ }{\sqrt{(2)^2+(-6)^2}}\implies \cfrac{2,-6}{\sqrt{40}}\implies \cfrac{2,6}{2\sqrt{10}}\implies \cfrac{2}{2\sqrt{10}}\ ,\ \cfrac{-6}{2\sqrt{10}}
\\\\\\
\boxed{\cfrac{1}{\sqrt{10}}\ ,\ \cfrac{-3}{\sqrt{10}}}$

$\bf -------------------------------\\\\
\cfrac{\ \textless \ -4,7\ \textgreater \ }{\sqrt{(-4)^2+(7)^2}}\implies \cfrac{-4,7}{\sqrt{65}}\implies \boxed{\cfrac{-4}{\sqrt{65}}\ ,\ \cfrac{7}{\sqrt{65}}}$

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Ответ:

saintsfan2004

25.12.2022

Mathematics

It would be C, because since the amount of chairs is equal to double the amount of desks, plus 5, the two outside the parentheses means the desks is being doubled, plus the 5.

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Let v1 = (2, -6) and v2 = (-4, 7). compute the unit vectors in the direction of |v1| and |v2|

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