Show that if u + v and u - v are orthogonal, then the vectors u and
Question:
Show that if u + v and u - v are orthogonal, then the vectors u and v must have the same length.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (12 reviews)
If the vectors u v and u v are orthogonal ...View the full answer
Answered By
Jayshree Rathi
Hello Students!
This is Jayshree Rathi. I work on a number of renowned student-centric channels such as Chegg, coursehero, as a certified private tutor.
If you are looking for relevant and original content to complete your assignments, essays, and homework, then contact me and within the promised time, I will deliver you your personalized academic work and help you score the best.
4.80+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Show that if u, v Rn, then det (I + uvt) = 1 + vtu.
-
Show that if u and v are orthogonal then |u x v|= |u||v|
-
Show that if u and v are orthogonal unit vectors then u x v is also a unit vector
-
A firm has $180 million in annual sales; $40 million of inventory and $60 million of accounts receivable. What is the inventory turnover ratio?
-
Must property be actually condemned for the conversion of property to be classified as an involuntary conversion? Explain.
-
What is the distinction between 33L and 33?
-
Consider the Chan and Kogan model. Show the expressions in Eqs. (9.15), (9.16), (9.17), (9.18), and (9.19). Show Theorem 9.3.
-
Resort Travel borrowed $80,000 on October 1 by signing a note payable to Texas First Bank. The interest expense for each month is $500. The loan agreement requires Resort to pay interest on December...
-
solve please 4. The Everest Company had the following balances for the year ended December 31, 2022: Requirement: Calculate Net Profit Ratio from the above information. (2 Marks)
-
The average rate of arrivals at a self-service store is 30 per hour. At present, the store employs a cashier who can serve an average of 45 customers per hour. Management estimates the cost of wait...
-
The Parallelogram Law states that (a) Give a geometric interpretation of the Parallelogram Law. (b) Prove the Parallelogram Law. (See the hint in Exercise 62.) | a + b + | a b | = 2|a| + 2|b|P %3D
-
If is the angle between vectors a and b, show that proj, b proj, a = (a b) cos0
-
What techniques are most effective for reducing stage fright?
-
Using a ruler and set squares only, construct the following shapes: a. b. c. d. 5cm 5cm
-
The marketing department has just forecast that 10,000 units of item 778 will be ordered in the next fiscal year. Based on the marketing department's forecast and noting that the seasonal relative...
-
Following are interaction plots for three data sets. Which data set has the largest interactions? Which has the smallest? A B C
-
From your local chamber of commerce, obtain the population figures for your city for the years \(1980,1990,2000\), and 2010. Find the rate of growth for each period. Forecast the population of your...
-
A mass \(m\) is attached at the midpoint of a stretched wire of area of cross-section \(A\), length \(l\), and Young's modulus \(E\) as shown in Fig. 13.29. If the initial tension in the wire is...
-
For the following exercises, use the matrices below to perform the indicated operation if possible. If not possible, explain why the operation cannot be performed. A 2 - A = [2 3] B =[ 7 , -1 0.5 0.1...
-
Problem 3.5 (4 points). We will prove, in steps, that rank (L) = rank(LT) for any LE Rnxm (a) Prove that rank (L) = rank (LTL). (Hint: use Problem 3.4.) (b) Use part (a) to deduce that that rank(L) =...
-
Explain why a decreasing demand function has a negative elasticity function.
-
A state patrol station is located on a straight north-south freeway. A patrol car leaves the station at 9:00 a.m. heading north with position function s = f(t) that gives its location in miles t...
-
The following figure shows the position function of an airliner on an out-and-back trip from Seattle to Minneapolis, where s = f(t) is the number of ground miles from Seattle t hours after take-off...
-
A government bond matures in 30 years, makes semi-annual coupon payments of 6.0% ($120 per year) and offers a yield of 3.7% annually compounded. Assume face value is $1,000. Three years later the...
-
Your objective is: 1. Carry out a life insurance needs analysis, for each one of them (show your calculations) [30 Marks] 2. Refer to the case and the insurance plan quotes. Would you recommend...
-
TufStuff, Incorporated, sells a wide range of drums, bins, boxes, and other containers that are used in the chemical industry. One of the company s products is a heavy - duty corrosion - resistant...
Study smarter with the SolutionInn App