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Xelga [282]
3 years ago
13

Find two unit vectors orthogonal to both given vectors. i j k, 4i k

Mathematics
1 answer:
Maurinko [17]3 years ago
6 0
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.
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Kelly is knitting a scarf for her brother. It took her 2/3 hour to knit 5/6 foot of the scarf. How fast is Kelly's knitting spee
juin [17]

Answer:

C. 4/5 feet per hour

Step-by-step explanation:

All you wanna do is to divide 2/3 and 5/6

then you'll have 4/5

Hoped this helps!

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Algebra 2 questions
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An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed wi
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Answer:

P(X

And we can find this probability using the normal standard distribution table and we got:

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Step-by-step explanation:

Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:

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And we can use the z score formula given by:

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Using this formula we have:

P(X

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P(z

And the percentage faster than 13.28 seconds would be 91.9%

8 0
3 years ago
Can I have some help with this problem
Rufina [12.5K]
Corresponding measures have the same ratio.
.. (x -1)/4 = (2x +1)/10
.. 5(x -1) = 2(2x +1) . . . . . . multiply by 20
.. 5x -5 = 4x +2 . . . . . . . . eliminate parentheses
.. x = 7 . . . . . . . . . . . . . . . add 5 -4x

x = 7
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3 years ago
Find the slope of the line that contains the points:
Semenov [28]

Answer:

slope is 1

Step-by-step explanation:

5-3/-4--6 = 2/2 = 1

5 0
2 years ago
Read 2 more answers
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