Question: Let A = (1, 1, - 1), B = (- 3, 2, - 2), and C = (2, 2, - 4). Prove that ABC is

Let A = (1, 1, - 1), B = (- 3, 2, - 2), and C = (2, 2, - 4). Prove that ∆ABC is a right-angled triangle.

Step by Step Solution

★★★★★

3.42 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To show that 4ABC is right we need only show that one pair of its sides meets at ... 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

Document Format (1 attachment)

Word file Icon

859-L-A-L-S (2137).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0, 2]. Find the angle between: a, b

Q:

Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0, 2]. Find the angle between: Find the distance of the point A: (1, 0, 2) from the plane P: 3x + y + z = 9. Make a sketch.

Q:

Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0, 2]. Find the angle between: Find the angles of the triangle with vertices A: (0, 0, 2), B: (3, 0, 2), and C: (1, 1, 1). Sketch the triangle.

Q:

Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0, 2]. Find the angle between: What will happen to the angle in Prob. 24 if we replace c by nc with larger and larger n? Data from prob. 24 Let a = [1,...

Q:

Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0, 2]. Find the angle between: Find the angles if the vertices are (0, 0), (6, 0), (8, 3), and (2, 3).

Q:

Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0, 2]. Find the angle between: Deduce the law of cosines by using vectors a, b, and a - b.

Q:

Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0, 2]. Find the angle between: cos ( - ) = cos cos + sin sin . Obtain this by using a = [cos , sin ], b = [cos , sin ] where 0 2.

Q:

Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0, 2]. Find the angle between: a + c, b + c

Q:

Let a = [1, 1, 0], b = [3, 2, 1], and c = [1, 0, 2]. Find the angle between: b, c

Q:

Need help on these questions 1 1. Let D be the point on the side [AC] of AABC such that BAC = CBD. If AD = 4 and CD = 5, find BC. Hint: Find similar triangles. 12. Let A = (1, -1) and B = (4, 2)....

Q:

If the magnitude of the resultant force is 1300 N and acts along the axis of the strut, directed from point A towards O, determine the magnitudes of the three forces acting on the strut. Set x = 0...

Q:

You are considering investing in a firm that has the following possible outcomes: Economic boom: probability of 25%; return of 25% Economic growth: probability of 60%; return of 15% Economic decline:...

Q:

Which of the followirg belong to the - monary circu? Multiple Choice Aorta and vense covoe Venat cavoe and pulmon yy vens Pulmonary arteries and pidmonory wens Aonto and puimonoy velns

Q:

Gary is the project manager of the HBB Project for his organization. Hes working with project customers to define the specifics of the project requirements, the project scope, and the defined product...

Q:

Find vectors x and y with ||x|| s = 1 and ||y|| m = 1 such that ||A|| 1 = ||Ax|| s and ||A|| = ||Ay|| m , where A is the matrix in the given exercise. Exercise 24 Data From Exercise 24 -5 2 1 -3 3...

Q:

Find the minimum distance of the codes. C =

Q:

Find vectors x and y with ||x|| s = 1 and ||y|| m = 1 such that ||A|| 1 = ||Ax|| s and ||A|| = ||Ay|| m , where A is the matrix in the given exercise. Exercise 23 Data From Exercise 23 A = 3

Q:

re Use the data for Starbucks (SBUX) and Google (GOOG) I to answer the following questions: a. What is the return for SBUX over the period without including its dividends? With the dividends? b. What...

Q:

The following two securities are currently trading in the economy. Suppose that annualized continuously compounded interest rate is r, and time to maturity is T. B = 0.90 0.4595 0.5172 2 0 Given...

Q:

Mr. Huskers Tuxedos Corp. ended the year 2015 with an average collection period of 39 days. The firms credit sales for 2015 were $56.8 million. What is the year-end 2015 balance in accounts...