Question: Find the shortest distance from the point (2, 0, -3) to the plane x + y + z = 1.

Find the shortest distance from the point (2, 0, -3) to the plane x + y + z = 1.

Step by Step Solution

★★★★★

3.39 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let d be the distance from 20 3 to any point x y z ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

Use Lagrange multipliers to give an alternate solution Find the shortest distance from the point (2, 0, -3) to the plane x + y + z = 1.

Q:

Show that the shortest distance from the point (x1, y1) to the straight line Ax + By + C = 0 is |Ax, + By, + C VA + B

Q:

In each case, find the shortest distance from the point P to the plane and find the point Q on the plane closest to P. P(3, 1, -1); plane with equation 2x + y - z = 6.

Q:

41. Find the shortest distance from the point (2, 0, -3) to the plane x + y + z = 1

Q:

3) 4) 5) 6) Find the absolute maximum and absolute minimum values of 2X + 3y - 4x - 5 on the region X + y 25. Show that the surfaces 3X + 2Y + Z = 9 and x + y + Z 8X - 6Y - 8Z + 24 0 have a common...

Q:

1. Equation of a line passing through (1,-2,3) and parallel to the plane 2x + 3y +z +5 = 0 ie bogigo y+2z-3 1) -1 x-1 y+2 2) 3 z-3 !3! 1 --1 1 x+1y-2 z-3 3) x+1 y-2 z-3 4) 2 3 1 -1 1 2. Parametric...

Q:

3.5: #10a, #16, #30a 10. You have been asked to determine the least expensive route for a telephone cable that connects Andersonville with Beantown (see figure below). (a) If it costs $5000 per mile...

Q:

3. * Pick 2 of the following problems to solve by hand (a) Find the shortest distance from the point (4,2, 0) to the cone z' = x- + y- (b) Find the dimensions of the rectangular box with largest...

Q:

need help with this one Use Lagrange multipliers to find the shortest distance from the point (5, 1, 3) to the plane 5x + 10y - 4z = 2. 1. 147 7V141 2. 47 3. 2V141 4. V141 47v 141 5. 7

Q:

Find the minimum distance between the point (1, 0, 0) T and the plane x + y z = 0 when distance is measured in (a) The Euclidean norm; (b) The weighted norm w = (c) The norm based on the positive...

Q:

Search for an advertisement (A television commercial or a print ad). Upload the TVC or insert a working link to the TVC or the image of print ad in your submission. Analyse the ad: - Major selling...

Q:

After completing the NYUs NFP & Governmental Accounting, the Deloitte partner invite you to join the team to perform the annual audit of the Department of Education of NYC, which receives...

Q:

Examples of generative AI models can be found in both text language and image generators:True False

Q:

6. Why is it necessary to develop operational definitions about such things as what constitutes recidivism or a successful client outcome? Use specific examples.

Q:

The line f(x) = 2x + 3 and the point (2, 7). Check that the point indicated lies on the line and find the equation of the line in point-slope form using the given point. Multiply out to check that...

Q:

Volume as a function of mass. Estimate the volume when the mass reaches 30.0 g. How will the density at that time compare with the density when a = 0.5? Graph the following relations between...

Q:

Graph these data. Which point does not lie on the line? Consider the data in the following table (adapted from Parasitoids by H. C. F. God fray), describing the number of wasps that can develop...

Q:

1) IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. LetX = X= IQ of an individual. (a) Find the z-score for an IQ of 121,...

Q:

Light Sweet Petroleum, Inc., is trying to evaluate a generation project with the following cash flows: Year Cash Flow 0 $ 38,400,000 1 62,400,000 2 11,400,000 a. What is the NPV for the project if...

Q:

number 8 please... Question 8 Not yet answered Marked out of 1.00 Flag question The waiting time for patients at a puskesmas in Sleman follows a normal distribution with a mean of 15 minutes and a...