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lana [24]
2 years ago
12

3. The table above shows the minimum age requirement for obtaining a driver's

Mathematics
1 answer:
Alenkasestr [34]2 years ago
5 0
The correct answer would be b
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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
I will give you 25 points for my other qusetion
Sophie [7]
What was your other question
6 0
3 years ago
Read 2 more answers
Put in order from greatest to least: -5, -10, -1/2, -2.5, -0.25​
Sindrei [870]

Answer:

-0.25, -1/5, -2.5, -5, -10

Step-by-step explanation:

6 0
2 years ago
What is the relationship between the ratios?
salantis [7]

Answer: proportional

Step-by-step explanation: cuz i took the test and i was correct

4 0
2 years ago
Product of 4h × 5m is what
scoundrel [369]

20hm

That simple!. Good Luck.

4 0
3 years ago
Read 2 more answers
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