Question: 9. The vectors u = (3, 3, 0) and v = (- 1, 1, - 2) represent the diagonals of a quadrilateral. Show that this

9. The vectors u = (3, 3, 0) and v =

9. The vectors u = (3, 3, 0) and v = (- 1, 1, - 2) represent the diagonals of a quadrilateral. Show that this quadrilateral is a rhombus and find vectors representing the sides of the rhombus

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!

If u then u with direction angle tan 2 placed in the appropriate quadrant Dot Product of Two Vectors in the Plane and v v u v U V Angle Between Two Vectors and v cos 1 2 refer to the vectors u 3 4...

This is not a project and/or assignment for marks, as theses are textbook questions, and will not be copying the tutors work/answers. Please answer all the questions in the space provided and in full...

6. e) (a . b)d n) (axb) . a g) (a - b) . c Thinking/Inquiry (13 marks) 7. Let a = (2, -2, 3), b = (1, 3, 4), and c = (3, 6, 4). Find: (6 marks) a) (a x b ) x c b ) ( axb ) . a 8. Consider the vectors...

Math 225 Practice Final Problems Show all work! Correct answers without supporting work will not be given credit. Calculators and notes are not permitted. (1) Let A = 6 0 0 0 2 7 0 0 0 0 9 0 0 0 1 5...

a. 109.00 ind the measure of the angle & between u = (3, -2, 0) and v = (-4, 3, 1). b. 11.70 C. 168.30 d. 176.80 onto v. 10. Consider vectors u = and v = . Write u as the sum of two orthogonal...

4. Suppose u = (3, -2, 1) and v = (1, 4,-3). Find the orthogonal projection of u onto v. Show your work. proj,u = (u, v) (v, v) v. 5. Find the coordinate matrix of x = (4,-3) relative to the...

7.1 21. C = 65%, a = 25, b = 12 Using the Law of Sines In Exercises 1-10, use the Law 22. B = 48, a = 18, c = 12 of Sines to solve the triangle. If two solutions exist, find both. 23. Geometry The...

45. u = j v=iij 46. u : 2i 2j v = *i i j A Relationship of Two Vectors ln Exercises 4750, determine whether u and v are orthogonal, parallel, or neither. 47. u = (10, 20) 48. u = (15,9) v=(*18,9)...

1 due Sept 29 1. Describe geometrically (line, plane, three-dimensional space) the span of 1 2 1 1 1 0 1 1 0 a) 2 and 4 b) 1 and 1 c) 1 and and 3 6 0 0 0 1 1 1 0 1 d) 1 and 1 and 0 0 1 1 Recall: The...

1. [40.097 Points] DETAILS LARCALCH 11.2.010. Find the coordinates of the point. The point is located six units in front of the yzplane, three units to the left of the xz-plane, and one unit below...

The quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to answer the following question. 1. A quantitative data set has mean 17 and standard...

(a) The polarizing (Brewster) angle of a piece of flint glass (n = 1.66) in water is (1) greater than, (2) less than, (3) the same as that of the glass in air. Explain. (b) What are the polarizing...

Factorise these cubic expressions completely. a x+2x-3x-10 2x-9x-18x e 2x-13x+17x+12 9 4x-8x2-x+2 bx+4x-4x-16 d-8x+5x+14 3x+2x-19x+6 h 2x+3x-32x+15

How can companies control the value of their stock?

Consider the ethical perspectives of outsourcing and how the recommendations you provide will contribute to positive social change. By Day 7 Submit a 2- to 3-page assessment of the ethical,...

Your company has decided to shift the production of new-hire orientation to a new training vendor, and you are responsible for creating a PowerPoint presentation to deliver to a new team of eight...

Which factors in the external environment could (positively or negatively) affect the success of Macys new strategy?

Let's revisit HW 3c. For the rebate amount of $5, create a 2-way data-table to study the effects of the demand increase (5% to 25% by the increment of 5%) and the percentage of claims (5% to 25% by...

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...

Why might an analyst examining variances in the eeeanedan area look beyond that business function for explanations of those variances? LO1

Flexible budget. The budgeted prices for direct materials, direct manufacturing labour, and Flexible-budeet variance direct marketing (distribution) labour per attach case are $46, $10.40, and...

How might the continuous improvement theme be incorporated into the process of setting budgeted costs? LO1