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Sergio [31]
3 years ago
5

Find the component form for vector AB given the initial point A (1, 7, -9) and terminal point B (-2, 18, 4).

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

To find each of the components of AB we can find the different between the components on the terminal and initial points, doing that, we find:

AB = (-2 - 1, 18 -7, 4 - (-9)) = (-3, 11, 13).

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Since the left hand side of two equations is the same, we can conclude that the right hand side of two equations must also be the same. 

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Therefore, the correct answer is option B
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A and b are positive integers. Find <img src="https://tex.z-dn.net/?f=-2a%2B3b" id="TexFormula1" title="-2a+3b" alt="-2a+3b" ali
lord [1]

A could be 2 while B could be 3, so -2a+3b turns into -4+9, which equals 5.

From what I know you can't really solve a a single equation with two-variables so it's just a matter of trial and error.

Just try plugging in a small number like 2 for a just to try it and you get 8b^2=72.

Divide everything by 8 to isolate b and you get that b^2=9.

Square root everything and you'll find that b=3. This is just one possible combination, I'm sure there are many more but this is obviously the one that was intended to be found.

Now that we know that a=2 and b=3 just plug them into the equation.

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Answer:

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Step-by-step explanation:

is the correct answer

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