Question: 8. Consider the points A(2, 4, -5), B(3, 7, 1) and C(9, 5, 1). (i) What is the equation of the plane that passes through

8. Consider the points A(2, 4, -5), B(3, 7, 1) and

8. Consider the points A(2, 4, -5), B(3, 7, 1) and C(9, 5, 1). (i) What is the equation of the plane that passes through the points A, B and C? (ii) Use vector methods to show that the triangle formed in 3-dimensional space with vertices A, B and C is right-angled

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

11. Two vectors a and b, have a common starting point with an angle of 150 between them. Vector a = 5 and b = 7. Calculate a + b. (make sure to write the magnitude and direction) (10 points)10. Given...

Problem 1 Intersection of a line and a plane. (i) Find the equation of the plane that passes through the points A = (2, 1, 1), B = (-1, -1, 10) and C = (1,3, -4) (ii) Find an equation for the line...

1. Consider the partially completed one-way ANOVA summary table below. a) Complete the remaining entries in the table. b) How many population means are being tested? c) Using =0.05, what conclusions...

Rosetta Puzzles A Rosetta is made up of a centre coloured hexagon encircled by 6 white hexagons. To complete the puzzle, fill in all 7 Rosettas with each number between 1 and 7 in no particular order...

plz solve step by step correctly Question 2 Consider the two following data sets X and Y, Data set X 4 5 3 3 7 1 8 5 Data set Y 5 19 7 7 7 12 7 11 Some useful summations are provided below, Et = 36,...

Carolina Airlines, a small commuter airline in North Carolina, has six flight attendants that it wants to assign to six monthly flight schedules in a way that will minimize the number of nights they...

Question 15 Not yet answered For the diagram shown, the respective values of n, and n, for the following equation are ...., respectively. Po = 50 (P/A,1,n) (P/F,1,n) Marked out of 1.50 0 2 4 5 6 7 8...

An experimental bumper was designed to reduce damage in low-speed collisions. This bumper was installed on an experimental group of vans in a large fleet but not on a control group. At the end of a...

this is all one question Wildhorse Department Store is located in midtown Metropolis. During the past several years, net income has been declining because suburban shopping centers have been...

Need help solving: Suppose that S is a surface in R" with a parametrization & whose domain D is the square shown in the figure. The values of a function f, a vector field F, and the normal vector N =...

If 20lb of rice and 10lb of potatoes cost $14.60, and 30lb of rice and 12lb of potatoes cost $20.52, how much will 10lb of rice and 50lb of potatoes cost?

Rho Ltd. has just paid a dividend of $0.25 on its stock. They expect dividends to grow at a rate of 6% in the first two years and 3% per year thereafter. Given a required rate of return of 10%, what...

Differentiate y = s i n ( e t a n 3 x 2 )

The stockholder's equity accounts of Pen Corporation and Sin Corporation at December 31, 2010, were as follows (in thousands) On January 1, 2011, Pen Corporation acquired an 80 percent interest in...

(Issuance of Bonds with Detachable Warrants) On September 1, 2010, Jacob Company sold at 104 (plus accrued interest) 3,000 of its 8%, 10-year, $1,000 face value, nonconvertible bonds with detachable...

(Issuance, Exercise, and Termination of Stock Options) On January 1, 2010, Magilla Inc. granted stock options to officers and key employees for the purchase of 20,000 shares of the companys $10 par...

(EPS with Complex Capital Structure) Amy Dyken, controller at Fitzgerald Pharmaceutical Industries, a public company, is currently preparing the calculation for basic and diluted earnings per share...

(EPS: Simple Capital Structure) Kendall Inc. presented the following data. Net income $2,200,000 Preferred stock: 50,000 shares outstanding, $100 par, 8% cumulative, not convertible 5,000,000 Common...

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

Given the characteristics of useful accounting information, complete each of the following statements. (a) For information to be , it should have predictive and confirmatory value. (b) means that...

Here are some qualitative characteristics of useful accounting information: 1. Predictive value 3. Verifiable 2. Neutral 4. Timely Match each qualitative characteristic to one of the following...

"A JIT system must exploit customer and suppher linkages to be successful." Explain. LO3