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2 years ago

Show your work please

Mathematics

1 answer:

liubo4ka [24]2 years ago

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Can you make the picture bigger it’s not letting me zoom

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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

2 years ago

Anyone know how to expand 5p(p-3)

Katyanochek1 [597]

I believe what your asking is just multiplying it together so 5p(p-3) would be 5p2-15p. the p2 is p squared or a little 2 on top of the p. Hope I helped!

6 0

3 years ago

Polynomial<br> Simplify The expression to a<br> in standard form<br> (x+3) (2x²+9 x-2)

maw [93]

Answer:

2x3+15x2+25x−6

Step-by-step explanation:

Multiply each term in the first expression by each term in the second expression and combine like terms.

6 0

3 years ago

At Molly's Pancake House there are 19 dirty coffee mugs and 76 clean coffee mugs. What

telo118 [61]

19:76*100 =

( 19*100):76 =

1900:76 = 25%

4 0

2 years ago

Peter always calls people "sir" or "ma'am" when talking to grown-ups. He even remembers to offer his chair to women who are stan

omeli [17]

Answer:

polite

Step-by-step explanation:

Peter's politeness never changes depending on circumstances, so it is a trait he owns.

3 0

3 years ago

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