Question: Consider the plane that passes through the points P, R, and S. Show that the distance from a point Q to this plane is |u

Consider the plane that passes through the points P, R, and S. Show that the distance from a point Q to this plane is

|u (v x w)| ||ux v|| where u = PR, v =

|u (v x w)| ||ux v|| where u = PR, v = PS, and w = PQ. Distance

Step by Step Solution

★★★★★

3.48 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

D PQ n n ... 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 Calculus 10th Edition Questions!

Q:

Given the fixed cost = Rs.20,000 the operating BEP in units = 2,500 and financial BEP - Rs.4,000, the overall BEP in units is

Q:

Find an equation of the line tangent to the curve y = An equation of the tangent line is 12x x +27 at the point (9,1).

Q:

(a) Let P be a point not on the plane that passes through the points Q, R, and S. Show that the distance d from P to the plane is d = |a (b x c)|/|a x b| where (b) Use the formula in part (a) to...

Q:

A dynamic programming problem regarding closest pair of points. pseudocode and explanation is enough, thank you. Consider a sct pi,, Pn of 3-dimensional points p (i, yi, zi) and define the distance...

Q:

a) Let u :(2,1,3), v = (-1, 4, 2) and w :(0,], 5) are vectors in R3. i. Express the vector (2, 2, 8) as a linear combination of u, v and w. ii. Find the volume of the parallelepiped determined by the...

Q:

43. If a . b = V3 and a x b = (1, 2, 2), find the angle between a and b. Answer + 44. a. Find all vectors v such that (1, 2, 1) X v = (3, 1, -5) b. Explain why there is no vector v such that (1, 2,...

Q:

Find a vector perpendicular to the plane that passes through the points P, Q, and R, and find the area of the triangle PQR. P (-1, 3, 1), Q (0, 5, 2), R(4, 3, -1) A. Vector 1=, AAPQR V165 2 - u2 B....

Q:

HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2 - y^2 = 1 Find...

Q:

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

Q:

HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2 - y^2 = 1 Find...

Q:

A graphic designer spends 35 hours working with client #130 during May. Your basic annual salary is $62,140 , while your annual salary plus total benefits $80,940 by year. she normally works 41 hours...

Q:

Charles is a single person, age 35, with no dependents. In 2019, Charles has gross income of $75,000 from his sole proprietorship. Charles also incurs $80,000 of deductible business expenses in...

Q:

Smead Manufacturing Company The Smead Manufacturing Company's costing system has two direct-cost categories: direct materials and direct manufacturing labor. Manufacturing overhead (both variable and...

Q:

4.46 Refer to Exercise 4.45. a. Are events A and B independent? Mutually exclusive? b. Are events A and C independent? Mutually exclusive?

Q:

Simplify the following expressions. In t? dt dx . et

Q:

Use a change of variables to evaluate the following integrals. V16 x4 dx

Q:

Consider the following definite integrals. a. Write the midpoint Riemann sum in sigma notation for an arbitrary value of n. b. Evaluate each sum using a calculator with n = 20, 50, and 100. Use these...

Q:

Minden Company is a wholesale distributor of premium European chocolates. The company s balance sheet as of April 3 0 is given below: Minden Company Balance Sheet April 3 0 Assets Cash $ 9 , 0 0 0...

Q:

A department store apportions payroll costs to the various departments on the basis of the number of payroll checks issued by each department Accounting costs are apportioned on the basis of the...

Q:

At its December 31 year-end, a company estimates its bad debts as 0.80% of its annual credit sales of $974,000. The company records its bad debts expense for that estimate. On the following June 1,...