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Natasha2012 [34]
3 years ago
10

Answer number 38 please

Mathematics
1 answer:
alex41 [277]3 years ago
3 0
It's D because 2 it's not a parallelogram and 4 is a parallelogram
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Find the unit vector in the direction of (4,-4). Write your answer in component form. Do not approximate any numbers in your ans
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Answer:

(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} }  )

Step-by-step explanation:

The unit vector for a nonzero vector, say u, in the direction of u is given by:

û = \frac{u}{|u|}             ---------------(i)

Where;

|u| = magnitude of vector u

From the question;

u = (4, -4)

First let's calculate the magnitude of u as follows;

|u| = \sqrt{(4)^2 + (-4)^2}

|u| = \sqrt{16 + 16}

|u| = \sqrt{32} = 4\sqrt{2}

Now, substitute u and |u| into equation (i) as follows;

û = \frac{(4, -4)}{4\sqrt{2} }

û = (\frac{4}{4\sqrt{2} }, \frac{-4}{4\sqrt{2} }  )

û = (\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} }  )

Therefore, the unit vector is (\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} }  )

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Ilia_Sergeevich [38]
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Harman [31]

Answer:

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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