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dem82 [27]
3 years ago
6

Please help this is very confusing.

Mathematics
1 answer:
Leni [432]3 years ago
4 0
Rotation 45 and rotation 90
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Determine the projection of w onto u
natali 33 [55]

Answer:

c. 6.2i - 4.2j

Step-by-step explanation:

The vector projection when the angle θ not known can be calculated  using the following property of the dot product:

proj_uv=\frac{u\cdot v}{||u||^2} u

Where the dot product of two vectors is given by:

u\cdot v= $$\sum_{i=1}^{n} u_iv_i= u_1v_1+u_2v_2+...+u_nv_n$$

And the magnitude of a vector is given by:

||u||=\sqrt{u_1^2+u_2^2+...+u_n^2}

Using the previous definition, let's calculate the projection of w onto u:

First let's calculate the dot product between w and u:

u\cdot w =(9*19)+(-6*15)=171-90=81

Now let's find the magnitude of u:

||u||=\sqrt{9^2+(-6)^2} = 3 \sqrt{13}

So:

||u||^2=117

Therefore:

proj_uw=\frac{u\cdot w}{||u||^2} u=\frac{81}{117} \langle9,-6\rangle=\langle6.23,-4.14\rangle\approx6.2i-4.2j

5 0
3 years ago
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Please help me with this. No links or files allowed! Explanation needed!
jonny [76]

Answer:

1/368

Step-by-step explanation:

I think that it is you add the number twice like 23+23=46 so you would do 184+184 or 184*2 to get you answer I hope this helps

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3 years ago
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Select ALL of the trips that would take 4 hours to complete.
Annette [7]

Answer:

1, 4

Step-by-step explanation:

Hope this helps

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The height of a right triangle is √6 units and the base is √9 units. Find the area of the triangle
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Answer:

Step-by-step explanation:

h = √6 units

b = √9 units

A = b*h/2 = √6·√9 /2 = √(6·9)/2 = √(2·3·3·3)/2 = 3√3 /2 units ²≈ 2.6 units²

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3 years ago
What does how many mean in math
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How many means that you have to add the numbers together
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