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Reil [10]
2 years ago
12

(3) Find the value of x.

Mathematics
1 answer:
jek_recluse [69]2 years ago
3 0

Answer:

x=4

Step-by-step explanation:

since triangles are proportional by 2:1, then:

16/2=3x-4

8=3x-4

3x=12

x=4

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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:

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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;

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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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