Mathematics: Let v = 8j and let u be a vector with length 9 that starts at the origin and rotates in the xy-plane. Find the maximum and minimum values of the length of the vector u × v.

Let v = 8j and let u be a vector with length 9

Ответ:

NeverEndingCycle

17.03.2022

Mathematics

$|u\times v|_{min}=0$

$|u\times v|_{max}=72$

Step-by-step explanation:

We are given that

v=8 j

|u|=9

Let u=ai+bj

We have to find the maximum and minimum values of the length of the vector

u × v.

$u\times v=\begin{vmatrix}i&j&k\\a&b&0\\0&8&0\end{vmatrix}=8ak$

$|u\times v|=\sqrt{(8a)^2}=\sqrt{64a^2}$

$|u|=\sqrt{a^2+b^2}=9$

a^2+b^2=81

The minimum value of a^2 =0

Then, $|u\times v|_{min}=0$

Maximum value of a^2 =81

$|u\times v|_{max}=\sqrt{64(81)}=72$

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Ответ:

kayolaaaa53

03.04.2020

Mathematics

Step-by-step explanation:

409515 Is the answer because you round up because the hundredths place number is greater than 5 so you round up, BUT you gotta roung 9 up but then you gotta add 1 to the ones place

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Let v = 8j and let u be a vector with length 9 that starts at the origin and rotates in the xy-plane. Find the maximum and minimum values of the length of the vector u × v.

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