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MAXImum [283]
3 years ago
8

Find the angle 0 between the vectors. u=(1, 1, 1, 0), v = (4, 4, 4, 4).

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

30 degrees

Step-by-step explanation:

u dot v=1*4+1*4+1*4+0*4=4+4+4+0=12

|u|=sqrt(1^2+1^2+1^2+0^2)=sqrt(3)

|v|=sqrt(4^2+4^2+4^2+4^2)=sqrt(4*4^2)=2*4=8

cos(theta)=u dot v/(|u||v|)

cos(theta)=12/(sqrt(3)*8)

cos(theta)=3/(sqrt(3)*2)

cos(theta)=sqrt(3)/2

theta=30 degrees

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Because you have to use the Pythagorean theorem to solve for this.

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How are addition properties and subtraction rules helpful when solving problems
snow_lady [41]
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8 0
3 years ago
Read 2 more answers
10 + 2n = 8n - 2n + 10
galina1969 [7]

Answer:

n=0

Step-by-step explanation:

Rearrange

10+2=8−2+10

2+10=8−2+10

Combine like terms

2n+10=<u>8n−2n</u>+10

2+10=<u>6</u>+10

Subtract from both sides

2+10=6+10

2+10<u>−10=</u>6+10<u>−10</u>

Simplify

2n=6n

Subtract both sides from 6n of the equation

2=6

2<u>−6</u>=6<u>−6</u>

Solution

n=0

5 0
3 years ago
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