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andriy [413]
3 years ago
12

The number of swings in use on average is.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

Answer:

?

Step-by-step explanation:

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Find two unit vectors orthogonal to both given vectors. i j k, 4i k
Maurinko [17]
The cross product of two vectors gives a third vector \mathbf v that is orthogonal to the first two.

\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k

Normalize this vector by dividing it by its norm:

\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)

To get another vector orthogonal to the first two, you can just change the sign and use -\mathbf v.
6 0
3 years ago
2x=90<br> 3y-2x=90<br> Please tell me work
svp [43]
90 divided by 2= 45 so x=45
2•45=90
So, for the next one y=60 because 90+90=180
3•60-2•45=90
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