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3 years ago

Find the sum of the given vectors and illustrate geometrically. [0,1,2],[0,0,-3]

Mathematics

1 answer:

Nitella [24]3 years ago

5 0

Answer:

The sum of the given vectors is $[0,1,2]+[0,0,-3]=[0,1,-1]$

Step-by-step explanation:

For the given vectors (which are R³ vectors), the sum is simply the sum of each coordinate, if a general vector is written as

$[x,y,z]$

<u>the sum of two vector will be in each coordinate at a time</u>.

To illustrate geometrically the resulting vector in the space xyz

$[0,1,-1]$

<em>we can say that the first coordinate is on the x-axis, the sencond on the y-axis, and the third one on the z-axis</em>, so the illustration will be a <em>vector starting from the center of coordinates, and ending in the coordinates 0 of the x-axis, 1 of the y-axis, and -1 of the z-axis</em>. <u>Or, in a plane yz (where x=0), a vector from the origin to the point 1 in y-axis, and -1 in z-axis</u>.

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a rectangular garden is fenced on alls ides with 256 feet fencing. the garden is 8 feet longer than it is wide

pickupchik [31]

The length and width of the rectangular garden is estimated as-

Length = 68 ft
width= 60 ft

<h3>How to calculate perimeter of the rectangle?</h3>

A rectangle's perimeter is the total length and distance of its border across all sides. The perimeter of a rectangular box is a linear measurement that is expressed in meters, feet, cm, or yards. Let us first examine the two primary characteristics of a rectangle.

A rectangle's four angles are all 90°.
A rectangle's opposite sides are of equal length.

The perimeter of the rectangle is given as-

Perimeter = 2(length + width)

perimeter= 256

Let the width of the rectangle be x.

Length is 8 feet longer than width, Thus,

length = x+8

Substitute the values in the formula of perimeter;

256 = 2( x+ 8+ x)

256 = 2( 2x + 8)

128= 2x + 8

120= 2x

x=60

Thus, width = 60 ft.

Length = 60 + 8 = 68 ft.

Therefore, the length and width of the rectangular garden is estimated.

To know more about the area of the rectangle, here

brainly.com/question/2607596

#SPJ4

The complete question is -

A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8feet longer than it is wide. Find the length and width of the garden.

6 0

2 years ago

What percent of sales did Mark

vovangra [49]

Answer:

50%

Step-by-step explanation:

Divide the amount sold by the total amount started out

63/126 = .5

multiply by 100 to get into percent form

8 0

3 years ago

HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

lesantik [10]

The coefficients would be 6 and 2.
Coefficient of k would be 6 and for n it would be 2.

5 0

3 years ago

How many solutions does -3x+15=3(5-x) have

S_A_V [24]

Answer:

Infinite solutions

Step-by-step explanation:

So if simplified it would be

-3x+15=15-3x

Which is basically the same thing if arranged

15-3x=15-3x

-3x+15 can also be 15-3x still the same thing as adding 15 to -3x

So since these are equal anything could be used

like try 0

Both get 15

Try 1

Both get 12

Try legit any number

youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)

7 0

3 years ago

According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 71 million wildif

suter [353]

Answer:

The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.

Step-by-step explanation:

We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.

If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.

The standard deviation of the sample is equal to:

$\sigma_s=\sqrt{\frac{\pi(1-\pi)}{N}}=\sqrt{\frac{0.8*0.2}{500}}=0.018$

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

$z=\frac{p-\pi}{\sigma}=\frac{0.79-0.80}{0.018} =\frac{-0.01}{0.018} = -0.55\\\\z=\frac{p-\pi}{\sigma}=\frac{0.81-0.80}{0.018} =\frac{0.01}{0.018} = 0.55$

Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

$P(0.79$

3 0

3 years ago