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3 years ago

10

Simplify the expression in part C, and explain what the number means with regard to the problem.

1 answer:

alexdok [17]3 years ago

4 0

Answer: |55.75 – (-15.8)| = |55.75 + 15.8| = |71.55| = 71.55

Step-by-step explanation: The distance between two positions with longitudes A and B is given by ||A| - |B|| if the two positions are at the same side of the meridian (0 degrees longitude) and |A| + |B| if both positions are at different sides of the meridian.

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3 years ago

Find the angle between u = (8.- 3) and v = (-3,- 8) Round to the nearest tenth of a degree.

Nimfa-mama [501]

Answer:

<h2>90°</h2>

Step-by-step explanation:

First you must calculate the module or the magnitude of both vectors

The module of u is:

$|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544$

The module of v is:

$|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544$

Now we calculate the scalar product between both vectors

$u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0$

Finally we know that the scalar product of two vectors is equal to:

$u*v = |u||v|*cos(\theta)$

Where $\theta$ is the angle between the vectors u and v. Now we solve the equation for $\theta$

$0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°$

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Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °

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3 years ago

Read 2 more answers

PLEASE ANSWER QUICK!!!

aivan3 [116]

Answer:

(0,5) and (1,0)

Step-by-step explanation:

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