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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

$[x,y,z]$

the sum of two vector will be in each coordinate at a time.

To illustrate geometrically the resulting vector in the space xyz

$[0,1,-1]$

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, so the illustration will be a 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. 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.

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Help, please! This question may take some time to answer.

tatyana61 [14]

Answer:

0.15-0.75p? YES

-0.45-0.6+0.75P? NO

-3(-0.05+0.25p)? YES

-3(0.15)+(-3)(0.2)+(-3)(0.25p)? NO

Step-by-step explanation:

-3(0.15-0.2+0.25p)

=-0.45+0.6-0.75p

=0.15-0.75p

1. 0.15-0.75p=0.15-0.75p? YES

2. -0.45-0.6+0.75P=0.15-0.75p?

-1.05+0.75p=0.15-0.75p? NO

3. -3(-0.05+0.25p)=0.15-0.75p?

0.15-0.75=0.15-0.75p? YES

4. -3(0.15)+(-3)(0.2)+(-3)(0.25p)=0.15-0.75p?

-0.45-0.6-0.75p=0.15-0.75p?

-1.05-0.75p=0.15-0.75p? NO

7 0

2 years ago

Solve for x. x3=−1000 Enter your answer in the box. x =

levacccp [35]

X³ = -1000

x = ∛-1000

x = -10

In short, Your Answer would be: -10

Hope this helps!

7 0

3 years ago

Read 2 more answers

What the answer question

algol [13]

Answer:

∠WUV

Step-by-step explanation:

Start from the top, the meeting point of the rays is the angle U

5 0

3 years ago

Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5

satela [25.4K]

Answer:

y = 3x-6

Step-by-step explanation:

y = 3x−5

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

m =3

Parallel lines have the same slope

We have the slope m=3 and a point (2,0)

y = mx+b

y = 3x+b

Substituting the point into the equation to solve for b

0 = 3(2)+b

0 = 6+b

b = -6

y = 3x-6

4 0

2 years ago

Read 2 more answers

How to calculate the diameter of cylinder if you are given volume of 1000Litre and 224cm height

Afina-wow [57]

well, let's first notice, all our dimensions or measures must be using the same unit, so could convert the height to liters or the liters to centimeters, well hmm let's convert the volume of 1000 litres to cubic centimeters, keeping in mind that there are 1000 cm³ in 1 litre.

well, 1000 * 1000 = 1,000,000 cm³, so that's 1000 litres.

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=1000000~cm^3\\ h=224~cm \end{cases}\implies \stackrel{cm^3}{1000000}=\pi r^2(\stackrel{cm}{224}) \\\\\\ \cfrac{1000000}{224\pi }=r^2\implies \sqrt{\cfrac{1000000}{224\pi }}=r\implies \cfrac{1000}{\sqrt{224\pi }}=r\implies \stackrel{cm}{37.7}\approx r$

now, we could have included the "cm³ and cm" units for the volume as well as the height in the calculations, and their simplication will have been just the "cm" anyway.

6 0

1 year ago