## Question

###### Equation of the plane through three points $A, B$ and $C$ with position vectors $-6 mathbf{i}+3 mathbf{j}+2 mathbf{k}, 3 mathbf{i}-2 mathbf{j}+4 mathbf{k}$ and$5 mathbf{i}+7 mathbf{j}+3 mathbf{k}$ is equal to(a) $mathbf{r} cdot(mathbf{i}-mathbf{j}+7 mathbf{k})+23=0$(b) $mathbf{r}$. $(mathbf{i}+mathbf{j}+7 mathbf{k})=23$(c) $mathbf{r} .(mathbf{i}+mathbf{j}-7 mathbf{k})+23=0$(d) $mathbf{r} .(mathbf{i}-mathbf{j}-7 mathbf{k})=23$

Equation of the plane through three points $A, B$ and $C$ with position vectors $-6 mathbf{i}+3 mathbf{j}+2 mathbf{k}, 3 mathbf{i}-2 mathbf{j}+4 mathbf{k}$ and $5 mathbf{i}+7 mathbf{j}+3 mathbf{k}$ is equal to (a) $mathbf{r} cdot(mathbf{i}-mathbf{j}+7 mathbf{k})+23=0$ (b) $mathbf{r}$. $(mathbf{i}+mathbf{j}+7 mathbf{k})=23$ (c) $mathbf{r} .(mathbf{i}+mathbf{j}-7 mathbf{k})+23=0$ (d) $mathbf{r} .(mathbf{i}-mathbf{j}-7 mathbf{k})=23$

## Answers

#### Similar Solved Questions

5 answers

##### A rectangular plot of farmland will be bounded 0n one side by river and on the other three sides by single-strand electrical fencc_ With 1800 yards 0f fence at your disposal(a) What dimensions will maximize the rectangle? (b) What is the maximum area?

A rectangular plot of farmland will be bounded 0n one side by river and on the other three sides by single-strand electrical fencc_ With 1800 yards 0f fence at your disposal (a) What dimensions will maximize the rectangle? (b) What is the maximum area?...

5 answers

##### Let X be the number of months between successive doctor visits Let X have the following CDF: I < 1 1<I < 3 .48 3 <I < 4 F(c) = 4 <I < 6 6 <I < 12 I 212a) Using just the CDF compute P(3 < X < 6) and P(X 24). What is the expected value of X?

Let X be the number of months between successive doctor visits Let X have the following CDF: I < 1 1<I < 3 .48 3 <I < 4 F(c) = 4 <I < 6 6 <I < 12 I 212 a) Using just the CDF compute P(3 < X < 6) and P(X 24). What is the expected value of X?...

1 answers

##### Suppose f and 9 aC diflerentiable OH [a.6] and that f and 9 are Riemann integrable on this interval. Prove thatf(r)g' (r)dr = [f(6)g(b) - f(a)g(a)]f' (r)g(r)dz.Hint: Use the Fundamental Theorem of Calculus and the fact that (fg)' f"g + fg'

Suppose f and 9 aC diflerentiable OH [a.6] and that f and 9 are Riemann integrable on this interval. Prove that f(r)g' (r)dr = [f(6)g(b) - f(a)g(a)] f' (r)g(r)dz. Hint: Use the Fundamental Theorem of Calculus and the fact that (fg)' f"g + fg'...

5 answers

##### Points)Find and classily the equilibriu points of the systemdx dt dycy +I _ 2y(r2 _ 1)(y - 3)

points) Find and classily the equilibriu points of the system dx dt dy cy +I _ 2y (r2 _ 1)(y - 3)...

5 answers

##### Nanowany grams of water are required to prepare 250. gof 25.0 % m/m solution of NaNO362.5 8250. g188 g225 g

Nanowany grams of water are required to prepare 250. gof 25.0 % m/m solution of NaNO3 62.5 8 250. g 188 g 225 g...

5 answers

##### A capacitor of capacitance $5 cdot 00 mu mathrm{F}$ is charged to $24 cdot 0 mathrm{~V}$ and another capacitor of capacitance $6 cdot 0 mu mathrm{F}$ is charged to $12 cdot 0 mathrm{~V}$. (a) Find the energy stored in each capacitor. (b) The positive plate of the first capacitor is now connected to the negative plate of the second and vice versa. Find the new charges on the capacitors. (c) Find the loss of electrostatic energy during the process. (d) Where does this energy go ?

A capacitor of capacitance $5 cdot 00 mu mathrm{F}$ is charged to $24 cdot 0 mathrm{~V}$ and another capacitor of capacitance $6 cdot 0 mu mathrm{F}$ is charged to $12 cdot 0 mathrm{~V}$. (a) Find the energy stored in each capacitor. (b) The positive plate of the first capacitor is now connected to ...

5 answers

##### Read the following paragraph and answer Questions 11-14. Hermione wants to determine if flying speed is affected by the broomstick flown: She ac- quires two broomstick models: one that is 3 years old and the newest model. She randomly selects 20 students at Hogwart's School of Magic and has them fy each broomstick a distance of 100 yards as fast as possible. For each run; the student's time is recorded_(11) The sample is._ All magical people Two broomsticks Twenty students at Hogwart&#

Read the following paragraph and answer Questions 11-14. Hermione wants to determine if flying speed is affected by the broomstick flown: She ac- quires two broomstick models: one that is 3 years old and the newest model. She randomly selects 20 students at Hogwart's School of Magic and has the...

1 answers

##### Show, as in Examples 1.1.2 and 1.1.3, that $A=B$. $A=\left\{x \mid x^{2}-4 x+4=1\right\}, B=\{1,3\}$

Show, as in Examples 1.1.2 and 1.1.3, that $A=B$. $A=\left\{x \mid x^{2}-4 x+4=1\right\}, B=\{1,3\}$...

5 answers

##### Python allows programmers to pass values to functions in any order they like, provided they specify the parameters" names. For example:Why is this useful? Why is it dangerous? Explain why you do or don't think that Python (or any other programming language) should allow this or not.

Python allows programmers to pass values to functions in any order they like, provided they specify the parameters" names. For example: Why is this useful? Why is it dangerous? Explain why you do or don't think that Python (or any other programming language) should allow this or not....

5 answers

##### 2 Assume that the amount of time an Internal Revenue Service examiner is supposed to spend reviewing a randomly selected return is 55.1 minutes, with a standard deviation of about 17.6 minutes If a sample of 35 such reviews is selected, what is the probability that the average review time is more than an hour?

2 Assume that the amount of time an Internal Revenue Service examiner is supposed to spend reviewing a randomly selected return is 55.1 minutes, with a standard deviation of about 17.6 minutes If a sample of 35 such reviews is selected, what is the probability that the average review time is more th...

5 answers

##### Old incandescent lightbulbs have purely resistive meta filament, through which flows an alternating current; If an Incandescent bulb uses an average power 0f 75,0 W when connected to 60.0 Hz power source having maximum voltage 0f 170 V; what is its resistance (in 0)?Another incandescent bulb, with an average power Usage of 150 W; Is connected to the same AC power source with the same frequency and maximum voltage What I5 Its resistance (In 0)?

Old incandescent lightbulbs have purely resistive meta filament, through which flows an alternating current; If an Incandescent bulb uses an average power 0f 75,0 W when connected to 60.0 Hz power source having maximum voltage 0f 170 V; what is its resistance (in 0)? Another incandescent bulb, with ...

5 answers

##### In the shadow problem, how was "12 fect away from the lamp post " used t0 solve the 'problem? A) Extrancous info B) Set initial distance C) Show rate of change D) Show Similar Triangles

In the shadow problem, how was "12 fect away from the lamp post " used t0 solve the 'problem? A) Extrancous info B) Set initial distance C) Show rate of change D) Show Similar Triangles...

1 answers

##### Vrotepopulation where E6 % ofvoters prefer Candidate A voters. FInd the probabillty that 5 of the Prgan zation conducts pell of 12 112 vote will pvefer Candigate (Report answe accurate t0 cecimal places )Check Answe:Submland End

Vrotepopulation where E6 % ofvoters prefer Candidate A voters. FInd the probabillty that 5 of the Prgan zation conducts pell of 12 112 vote will pvefer Candigate (Report answe accurate t0 cecimal places ) Check Answe: Submland End...

5 answers

##### Identify the least common denominator of each group of rational expression, and rewrite each as an equivalent rational expression with the LCD as its denominator.$rac{3}{t}, rac{8}{t^{3}}$

Identify the least common denominator of each group of rational expression, and rewrite each as an equivalent rational expression with the LCD as its denominator. $\frac{3}{t}, \frac{8}{t^{3}}$...

5 answers

##### 17. [0/1 Points]DETAILSPREVIOUS ANSWERSSCALCET8 5.3.044.Evaluate the integral_if -3 <x<0 F; f(x) dx where f(x) = {6 _ x2 if 0 < x<2 44/3 X

17. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 5.3.044. Evaluate the integral_ if -3 <x<0 F; f(x) dx where f(x) = {6 _ x2 if 0 < x<2 44/3 X...

5 answers

##### Find the absolute and percent relative uncertainty and expresseach answer with a reasonable number of significantfigures.(4.97(Â±0.05)âˆ’1.86(Â±0.01)) / (21.1(Â±0.2))

Find the absolute and percent relative uncertainty and express each answer with a reasonable number of significant figures.(4.97(Â±0.05)âˆ’1.86(Â±0.01)) / (21.1(Â±0.2))...

5 answers

##### If the Sun were located at the very rim of the galaxy,would that change how we observe the Milky Way as a band of lightthat wraps all the way around the Earth?

If the Sun were located at the very rim of the galaxy, would that change how we observe the Milky Way as a band of light that wraps all the way around the Earth?...

5 answers

##### 2 [4 marks] In a given semester; a large university will processes many grades In the past; 0.2% ofall grades have been erroneously reported. Assume you are taking four courses at this university in one semester.a) What is the probability that all your grades are correctly reported?b) What is the probability that exactly three of your grades are reported incorrectly?

2 [4 marks] In a given semester; a large university will processes many grades In the past; 0.2% ofall grades have been erroneously reported. Assume you are taking four courses at this university in one semester. a) What is the probability that all your grades are correctly reported? b) What is the ...

5 answers

##### Li- pointsSCALC8 16.1.505.XP.MI:9Find the gradient vector field of f. f(x, Y) xeBxyVf(x, y)Need Help?Talk to & TutorRead ItWatch ItMaster It

Li- points SCALC8 16.1.505.XP.MI: 9 Find the gradient vector field of f. f(x, Y) xeBxy Vf(x, y) Need Help? Talk to & Tutor Read It Watch It Master It...