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Montano1993 [528]
2 years ago
9

Look at the picture, pls help!!

Mathematics
1 answer:
noname [10]2 years ago
8 0

Answer:

1 2 and 4 are all right for that

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Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, proj,u
11Alexandr11 [23.1K]

Answer:

Take b = \frac{-17}{25}(7,1) as the projection of u onto v and w \frac{1}{25}(-31,217) as the vector such that b+w =u

Step-by-step explanation:

The formula of projection  of a vector u onto a vector v is given by

\frac{u\cdot v}{v\cdot v}v, where cdot is the dot product between vectors.

First, let b ve the projection of u onto v. Then

b = \frac{u\cdot v}{v\cdot v}v= \frac{-6\cdot 7+8\cdot 1}{7\cdot 7+1\cdot 1}(7,1) = \frac{-34}{50}(7,1) = \frac{-17}{25}(7,1)

We want a vector w, that is orthogonal to b and that b+w = u. From this equation we have that w = u-b = (-6,8)-\frac{-17}{25}(7,1)= \frac{1}{25}(-31,217)[/tex]

By construction, we have that w+b=u. We need to check that they are orthogonal. To do so, the dot product between w and b must be zero. Recall that if we have vectors a,b  that are orthogonal then for every non-zero escalar r,k the vector ra and kb are also orthogonal. Then, we can check if w and b are orthogonal by checking if the vectors (7,1) and (-31, 217) are orthogonal.

We have that (7,1)\cdot(-31,217) = 7\cdot -31 + 217 \cdot 1 = -217+217 =0. Then this vectors are orthogonal, and thus, w and b are orthogonal.

5 0
2 years ago
SIMPLE PROBABILITY- What is the probability of the following situations: 1. Rolling a 7 on a 6 sided number cube 2. Spinning a n
vampirchik [111]

Answer:

1. 0

2.2/8

3.7/14

4.13/52

Step-by-step explanation:

8 0
2 years ago
The equation y = 3.5x represents the rate, in miles
avanturin [10]

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

we know that

The rate or speed is equal to the slope of the linear equation

<em>Laura</em>

y=3.5x

The slope is 3.5\ \frac{mi}{h}

<em>Piyush</em>

Determine the slope of the line

we have the points

(0,0) and (4,18)

The line represent a direct variation (because passes through the origin)

so

m=\frac{y}{x}

For x=4 h, y=18 mi

substitute

m=\frac{18}{4}=4.5\ \frac{mi}{h}

Compare the slopes

4.5\ \frac{mi}{h} > 3.5\ \frac{mi}{h}

therefore

Piyush walks faster than Laura

5 0
3 years ago
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What is the coefficient in the expression 4x + 7 ?
emmainna [20.7K]
The coefficient is 4
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-9 2/3(-2 1/4a+b+8 1/4)<br><br> Solve please with work
harkovskaia [24]

Answer:

4/x-1 -5/x+4/4/x-14/x-14/x-1 -5/x+2=3/x -5/x+2=3/x -5/x+2=3/xx-1 -5/x+2=3/x2=3/x

3 0
3 years ago
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