If x and y are unit vectors in Rn and |xTy| = 1, then x and y

Question:

If x and y are unit vectors in Rn and |xTy| = 1, then x and y are linearly independent.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

See More Books

Question Posted: Jun 13, 2016 12:54 AM

See More Questions

Let V be open in Rn, a V, f : V R, and suppose that f is differentiable at a. a) Prove that the directional derivative Duf(a) exists (see Exercise 11.2.10) for each u Rn such that ||u|| = 1 and...
If X and Y are independent, normal random variables with E(X) = 0, V(X) = 4, E(Y) = 10, and V(Y) = 9. Determine the following: (a) E(2X + 3Y) (b) V(2X + 3Y) (c) P(2X + 3Y < 30) (d) P(2X + 3Y < 40)
If X and Y are any two random variables, then the covariance of X and Y is defined by Cov(X, Y) = E ((X E(X))(Y E(Y ))). Note that Cov(X, X) = V (X). Show that, if X and Y are independent, then...
In an experiment that is designed to measure the Earths magnetic field using the Hall effect a copper bar 0.500 cm thick is positioned along an eastwest direction. If a current of 8.00 A in the...
Predict what will happen to interest rates on a corporations bonds if the federal government guarantees today that it will pay creditors if the corporation goes bankrupt in the future. What will...
Define I, II and III law of Thermodynamics.
What is validation, what is its primary objective, and what constitutes Validation success?
Refer to the Baseball 2012 data. Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team for 2012. Next, divide this value by 162 (a season...
Using the web,familiarize yourself with StrykerCorporation (reviewtheir website as well asrecent news about the company related to the company's business operations,market share,or overall...
PC Depot was a retail store for personal computers and hand-held calculators, selling several national brands in each product line. The store was opened in early September by Barbara Thompson, a...
If {u1, u2,..., uk} is an orthonormal set of vectors in Rn and U = (ul, u2, uk) then UUT = In (the n n identity matrix).
If U, V, and W are subspaces of R3 and U V and V W, then U W.
Which of the functions satisfy the hypotheses of the Mean Value Theorem on the given interval, and which do not? Give reasons for your answers. (x) = x 4/5 , [0, 1]
Iris (who is single) starts a business on 6 July 2020, preparing accounts to 5 April. Her adjusted trading loss for the nine months to 5 April 2021 is 15,000. However, she is expecting a trading...
Suppose we are comparing two ways of increasing nonfossil fuel energy production: expanding solar arrays (short run) or developing new nuclear power technology (much longer run). How would changes in...
Karen bought a house in 1993 for 42,000. In November 1994 she spent 18,000 on dividing the house into two self-contained flats. In September 2018 she sold one of the flats for 95,000, at which time...
On 19 April 2019, a close company (which makes up accounts to 31 March annually) lends 100,000 to Siobhan, who is a director of the company and who owns 30% of its ordinary share capital. The company...
Consider a small home project or a simple activity to help the climate that you, and maybe some friends, could do. Itemize and estimate the costs, including opportunity costs, of the project or...
Consider a classroom containing ten evenly spaced rows of students. If a student in row 1 releases laughing gas (N 2 O) and a student in row 10 simultaneously releases a lachrymator (a gas that...
A company produces earbuds. The revenue from the sale of x units of these earbuds is R = 8x. The cost to produce x units of earbuds is C = 3x + 1500. In what interval will the company at least break...
Consider the length 3 recurrence xk+3 = axk + bxk+1 + cxk+2. If is any eigenvalue of A, show that X = [1 2]T is a -eigenvector.
Consider the recurrence xk+2 = axk+1 + bxk + c where c may not be zero. (a) If a + b 1 show that p can be found such that, if we set yk = xk + p, then yk+2 = ayk+1 + byk. [Hence, the sequence xk can...
Consider the recurrence xk+2 = axk+1 + bxk + c(k) (*) where c(k) is a function of k, and consider the related recurrence xk+2 = axk+1 + bxk (**) Suppose that xk = pk is a particular solution of (*)....
The risk free rate is 2% and the market rate of return is 6%. The stock has a beta value of 1.5. What is the expected return on the stock. Is the stock overpriced?
It is year end, and RSG Investment Bank's stock is currently selling at $41.00 per share, just after paying out its annual dividend. The risk-free rate is 1.7% and the expected market return is 7%....
Sweet Muffins sells its muffins to restaurants and coffee houses for an average selling price of $33 per case. The following information relates to the budget for Sweet Muffins for this year (all...

If x and y are unit vectors in Rn and |xTy| = 1, then x and y

Question:

Step by Step Answer:

The statement is false If x and y are uni...View the full answer

Linear Algebra with Applications

Students also viewed these Linear Algebra questions