Answered: The distance from the point A(1,0,1) to…

The distance from the point A(1,0,1) to the plane that contains B(-1,2,3) and perpendicular to the vector u = < 1, -2, -1 > is O a. 1 √6 Ob. √6 O c. 2 300 W GN √5 O d. 3 √6 O e. 8 √6

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 31E

See similar textbooks

Related questions

Q: How many inflection points does ff have? Which points are inflection points? (List the labels of…

A: We have to find How many inflection points does function have.

Q: f(x) = √2x + 4, then f'(x) f'(2) ||

Q: You are standing above the point (2, 2) on the surface z = 15 - (3x² + 2y²). (a) In which direction…

A: Please see the below picture for detailed solution.

Q: Let F = (x^3 − 2yz, tan^−1(y^2 + z), −z + 1). a) Find div F b) Determine if F is conservative

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5. Find the maximum height above the x-axis of the polar curve r = 2+2 cos(0).

Q: Consider the region R bounded by y=1-x² x = 0 and y=0 [This region is used to answer questions a -…

A: Given curve, y=(1-x2) and x=0 , y=0 The region R is by the curves, y=(1-x2) , x=0 , y=0

Q: Let f(x)=12x^2−7x−11 How many critical points does this function have? How many inflection…

A: Given query is to find critical point and inflection points.

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: g(u,v)=u2e-vpoint is (8,0)v=3i+4jDvg(u,v)=∇g(u,v).a→

Q: Convert f(x) = 2x² + 5x-1 to vertex form O f(x) = 2(x + 5)² - 41 ○ f(x) = 2(x + ²)² - 33 8 O O f(x)…

Q: /transcript Perform a first derivative test on the function f(x) = x (x-3); [-3,3]. a. Locate the…

Q: If position is given by p(t) = -1² + 5t, what is the veloci v(t) at t = 2? ov(2) = 2 ov(2) = -1

A: note :- since you have asked multiple asked questions but accoeding to bartleby guidelines i unly…

Q: Find (a) the curl and (b) the divergence of the vector field. F (x, y, z) = sin yz î + sin zx Ĵ +…

Q: Can i still answer this without using the l'hospital rule? If yes, can you show me the alternative…

Q: State the x-coordinates of the inflection points of the curve below. X = -6 X = -4 y X = 10 M.. 2 4…

A: Given graph of a curve.

Q: The instructio says using Miscellaneous Substitution! Please edit your answer

Q: Determine the intervals on which the given function is concave up or down and find the f(x)…

A: To solve the following problem.

Q: as the area of the spill changing in m²/min between the time the spill was noticed and the response…

A: we will find the required.

Q: Solve the given differential equation. ex² dy=x√/9-ydx Choose the correct answer below. =9-²+C 4 ○…

Q: If g(x)=√1+tdt, then find the derivative g'(x).

A: Given :- gx=∫0sinx1+tdt

Q: Problem 3 d²y(t) — 4 dy(t) + 4y(t) = 2 × e²t dt² With initial conditions y(1) = 3, dy (1) dt = 1

Q: Identifying Trig Ratios (Diagram), Level 1 Mar 20, 6:59:24 PM Find the value of cos K rounded to the…

A: Given query is to find cosK.

Q: lim x-1 d x3+5 xa - X-5 * ха x2 + 4x -5

A: According to question,Given limit,limx→1 x3+5x2-x-5x2+4x-5

Q: Direction: Analyze the given problem. Show your complete and detailed solution (Given, Unknown,…

A: Solution: Given data, Let the width and length be x and y respectively. area = 2000 Sq.ft.…

Q: Which of the following conditions form the HYPOTHESIS for the basic form of L'Hopital's Rule? Let f…

A: Use the concept of L’Hopital’s rule when determining a limit.

Q: 3.) Find the volume of the solid whose base is the region bounded between the curve y=x²-x-3 and y=x…

Q: Use the four-step definition of the derivative to find f'(z) if f(x) = 91²-31 - 20. You may have to…

Q: Find all critical points of the function f(x) = x² - ²x² - 54x + 5. (Use symbolic notation and…

Q: Consider the function f(x) Then A= and B Then C = For each of the following intervals, tell whether…

Q: the following theorem. Theorem If f is integrable on [a, b], then b [ºr(x) dx f(x) dx = lim f(x₁)AX…

A: Given query is to find the integral.

Q: The average rate of change of f(x) = ax³ + bx² + cx+d over the interval -1 ≤x≤0 is Oa+b+c 2d a-b+c

Q: Two days after he bought a speedometer for his bicycle, Lance brought it back to the Yellow Jersey…

Q: 11. Find the maximum and minimum values of the function f(x, y) = 3x + y - 4 on the curve ² + 2y² =…

A: To find the maximum and minimum values of the function. fx, y=3x+y-4 on the curve x2+2y2=38.

Q: Construct the particular solution to the homogenoeus linear second order ODE d 2x dt2 + 10 dx dt +…

Q: प 1 dp 1 = 21PE म _pm - 6

A: Given :

Q: pany makes computer chips from square waters of silicon. A process engineer wants to keep the side…

Q: Assume that the fucntion f is continuous for all x. If f'(-1) = 0 and f''(-1) = 0, then the point…

Q: The equation implicitly defines as a function of t. Find dat dx || t² z2 -sin (9 x) = -4

A: The given equation is -t2x2-sin(9x)=-4 To find the dxdt.

Q: Determine whether the function f has a derivative at c. If it does, what is f'(c)? (If an answer…

Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: A small business buys a computer for $2500. After 4 years the value of the computer is expected to…

A: Note : as per guidelines we support only three subparts of the question. Kindly repost next question…

Q: Solve the triangle. a = 65, b=21, c = 52 ... 4 C≈ B A $0° (Do not round until the final answer. Then…

A: The given data is: a=65b=21c=52 Solve the triangle.

Q: 1: Evaluate the following integrals: 1. fff e ²x+3y + 4z dv 0≤x≤ ln2 2. √ √ √ √1+y³dydx 0 ≤ y ≤ In3…

Q: Find all critical points of the function f(x) = x³ - 2x² - 54x + 5. (Use symbolic notation and…

A: Given: f(x)=x3−92x2−54x+5 To find: Critical points of the given function f(x).

Q: ▷ Find the parametric equations of the tongent line to the curve of intersection of two surfaces:…

A: Solution below

Q: 5. The Cobb-Douglas production function for a new product is given by P(x, y) = 10x406, where x is…

Q: Which of the following are geometric series?

A: Here we have to choose the correct option.

Q: Given the following integral and value of n, approximate the following integral using the methods…

A: Given

Q: Find the critical points of the following function. f(x) = 9x 2 x² +81 Select the correct choice…

Q: Write an equation for the function graphed below -6 -5 -4 -3 y = -2 2 + 3 4 5 Q

Q: When a particle is located a distance x meter from the origin, a force of ƒ(x) = 3x² + 4x ~newtons…

A: Given: f(x)=(3x2+4x) Newtons from x=4 meter to x=8 meter

Question

The distance from the point A(1,0,1) to the plane that contains B(-1,2,3) and perpendicular to the vector u = <1, -2,- 1 > is
O a. 1
√6
O b. √6
5700 50 N
O c. 2
O d. 3
√6
O e. 8
√6

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.
A vector in three dimensions can be written in either of two forms: in coordinate form as v=a1,a2,a3 and in terms of the _________ vectors i,j, and k as v= __________. The magnitude of the vector v is |v|= _________. So 4,2,4=i+j+k and 7j24k=,,.

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage