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Sveta_85 [38]
2 years ago
15

Show your work please

Mathematics
1 answer:
liubo4ka [24]2 years ago
3 0
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
Read 2 more answers
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