Answered: Which point is closest to the yz-plane?…

Math

Calculus

Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 31E

See similar textbooks

Related questions

Q: find a parametrization for the curve. the line segment with endpoints (-1, 3) and (3, -2)

Q: Calculate the distance from the point (4,−2,7) to the plane x−3y+5z=−8.

Q: Find the distance from the point (−3,0,2) to the plane - 3x + y + 5z = 0

Q: Find the distance from the point (3, -4, 2) to thea. xy-plane b. yz-plane c. xz-plane

A: The 3D view of the point is as below

Q: Can two horizontal planes intersect?

A: Explanation: If two planes are horizontal, it means both are parallel to the x-axis.

Q: Find the distance from the point (- 11, 14, – 8) to the given plane or axis frequired, round your…

A: Given that: A point (-11, 14, -8) NOTE: As per our answering guidelines, we can only answer 1…

Q: Find the coordinates of the point located in the xy-plane, five units to the right of the xz-plane,…

Q: Write an expression for the length of a parametriccurve

Q: Find the distance from the point (-1, 3, -1) to the plane -1x + 2y -5z=1.

A: Given: The point (-1, 3, -1) and the plane -1x+2y-5z=1 To find: The distance.

Q: Calculate the distance between the points P = (-7, 0) and N=(-4, -6) in the coordinate plane. Give…

Q: Consider the point (3,4,5) What is the projection of the point on the xy-plane?

A: The given point is (3,4,5).

Q: When is An angle in the xy-plane is said to be in standard position?

A: An angle is in standard position if its vertex is located at the origin and one ray is on the…

Q: Find the distance from the point (3, -4, 2) to the a. xy-plane b. yz-plane c.xz-plane.

A: a) Distance of (3, -4, 2) from xy plane:On xy plane , z=0. So, This point is 2 units away from the…

Q: Find the distance from the point (−5,2,−3) to the (a) xy-plane (b) xz-plane (c) yz-plane (d) x-axis…

A: We know that distanced of xy-plane from the pointx0,y0,z0 is given by d=z0…

Q: find the distance from the point to the plane. (0, 0, 0), 3x + 2y + 6z = 6

Q: The distance between the point (9, 8, 3) and the plane x + y−2z = 5 is _____.

Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it using…

Q: find a parametrization for the curve. the line segment with endpoints (-1, -3) and (4, 1)

Q: Find the distance from the point to the plane (2,-3,4) , x+2 y - 2 z = 13

Q: Find the plane determined by the intersecting lines.

Q: find the distance from the point to the plane. (6, 0, -6), x - y = 4

A: x1,y1z1=6,0,-6…

Q: Find the distance from the point (-2, 1, 4) to the plane z = -1

A: Given, plane z=-1 and the point (-2,1,4)we have to find the distance from the given point to the…

Q: You are given the following points: A = (-4, 20, 16), B = (20, 0, 7), C = (8, –15, – 19). %3D Which…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?

Q: Find the distance from the point (1, -4, 4) to the plane −2x−4y+3z=5

A: Given:The point (1, –4,4) and the equation of the plane –2x–4y+3z=5.The distance from the point…

Q: the distance between point and our plane is (-3, 3, -2) and not (-3, -3, -2)?

Q: What is the distance from the point (1,9,3) to the xz-plane?

Q: Find the distance from the point Q(6, -2, 4) to the plane 2x - y + 2z = 4.

A: It is given that a point Q6,-2,4 and equation of the plane 2x-y+2z=4. Here, x1=6, y1=-2, z1=4 and…

Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7.

A: The distance between a point (x1, y1, z1) and a plane Ax+By+Cz=D is given by…

Q: Does the plane x = 5 have a trace in the yz-plane? Explain.

A: Given: The plane is: x=5 We have to determine the given plane is trace in the yz-plane and explain

Q: Find the distance from the point (5, -4, 1) to the plane −3x−2y−3z=−4

Q: Find the distance from the point (0,8,9) to the plane – 2y + 3z = 11.

A: In this question, we will find the distance from the given point to the given plane.

Q: The coordinate axes divide the xy-plane into four sections called _______ .

A: Coordinate axes

Q: What is the distance between the point A(1,-1,3) and the plane x + 2y + 2z + 1=0 ?

A: To find The diatance between the point A(1,-1,3) and the given plane

Q: Find the distance from the point (-2, 2, 3) to the plane -3x + y – z = 9.

Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

Q: What are the projections of the point (-9, 7,-8) on the coordinate planes? On the xy-plane: On the…

A: We can find the answer as below.

Q: Do two points determine a plane?

A: No.

Q: Find the distance from the point (-2, 1, 4) to the plane x = 3

A: Given: The point -2,1,4 and plane x=3 To find: Distance from the given point to the given plane.

Q: 5, what is the speed of the plane?

Q: Find the distance of the point (3,8,2) from the line =22= measured parallel to the plane 3x + 2y- 2z…

Q: In the standard (x,y) plane, what is the distance between (3, 4) and (6, 2)?

Q: Find the distance from the point (3, -4, 2) to the xy-plane

A: Given: 3,-4,2

Q: Find the distance from the point (-2, 1, 4) to the plane y = -5

A: Given plane is: y = -5 Given point is: (-2, 1, 4) We know that the distance (d) of a point P(h, j,…

Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7

A: We know that the distance between a point (x1, y1, z1) and a plane Ax+By+Cz = D is…

Q: Find the distance from the point (-4,3,-2) to the yz-plane.

Q: What is the distance between the point (-2, 5, 3) and the z-axis?

Q: Find the distance of the plane passing through the points ā, b, c from the origin.

A: First we derive the vector equation of plane. The perpendicular distance is the projection on the…

Q: Find the distance from the point (-1,4,5) to the plane 3x+2y-4z=5?

Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

ext Problem
А 3 (-5, —12, 18), В — (16, 0, 7),. С — (7, 16, — 22).
%3D

Which point is closest to the yz-plane? ?
What is the distance from the yz-plane to this point?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Cartesian Coordinates$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

A crime-scene investigator has 3.4 ounces of a sample. He needs to conduct four tests that each require 0.6 ounces of the sample, and one test that requires 0.8 ounces of the sample. How much of the sample remains after he uses it for the five tests?
Solve: 4(2h3)7h=6(h2)6(h1) .
the number of banks in the country for selected years from 1980 to 2009 is given by y=-383.7x+18,499 where x is the number of years after 1980. If this model is accurate after 2009, in what year would the number of banks be 3918
Differentiate (a) y = x lnx and (b) y = (lnx) 2.
You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. 1. determine if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? (Hint: use Pythagorean Theorem or distance formula) Distance between two red dots is:________________ . (5 pts) We know that the radius of the hearing zones are:…
You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…
You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…
Determine the equation of the line through (3,4) which forms the positive x and y axes, the triangle with the least area.
Find the general solution by Variation of Parameters. y''+y=3cscx
solve it by using variation of parameters
Solve for x , y, z, and w by Gauss Elimination Method Method
RJ&M Company manufactures furniture such as sofas and tables. In theircurrent inventory, a total of 48 planks of wood are left. Each sofa needs four planks of wood to be made while each table needs two planks of wood to be made. The company earns a profit of P hundred pesos where P(x, y) = (6x^2)y for selling x units of sofas and y units of tables. With their current inventory of woods, how many sofas and tables are needed to be produced to maximize their profit?