Question: Prove the polarization identity, |u + c| 2 - |u v| 2 = 4(u.v)

Prove the polarization identity,

|u + c|2 - |u – v|2 = 4(u.v)

Step by Step Solution

★★★★★

3.42 Rating (177 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

u v uv u v ... 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

Students Have Also Explored These Related Precalculus Questions!

Q:

Prove that u - v2 = u2 + v2 - 2u v.

Q:

Prove that ||u + v||2 + ||u - v||2 = 2||u||2 + 2||v||2.

Q:

Prove the integral identity, It may be easier to show that I2 = 2x. 2 exp-A

Q:

For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...

Q:

Exo9: let u=(1,2) and v=(2,1). Find a non zero linear combination w and u and v that's perpendicular to u. Draw a picture to illustrate what the coefficients are measuring. ( hint: you may as well...

Q:

- Symbolic functions must be entered using notation similar to the examples given below. - Do NOT include the name of the function or an equal sign. {i.e., do NOT include anything like '1' =' in your...

Q:

3) U = [1, 2, 3], V = [-1, -2, -4, -3], W = [2, 3, 0, -1]' and Z = [2; 4; 3; 3]' a) Using necessary commands, investigate the products of following cases U*(V+W), [U;V], V*[W- Z]', W*Z', U.*V, [W Z],...

Q:

needanswersof parta, b, c, d, e, f.thanks a. The main goal is to show that if u = (U1, 2) and v = (v1, v2) are vectors in R?, then, and 7 are parallel to each other if and only if u1V2 - 2V1 = 0....

Q:

\fHow to Keep A PLAYERS Productive Just because they think they're great doesn't mean they're not. YEL MAG CYAN BLACK by Steven Berglas A JOHN RITTER fter graduating from Harvard Business School with...

Q:

1. Let (X, x) and (Y, y) be inner product spaces over the same field F. Prove that: (a) The map : (X x Y)2 F, defined by = x + y is an F inner product on X x Y....

Q:

GameStop Fund Services A.. (Inc) is a joint stock corporation whose shares are owned by 25 individuals. The only business activity of GameStop Fund Services A.., as stated in its charter, is to...

Q:

What are the basic advantages to the corporation of issuing convertible securities? Discuss.

Q:

Debt Snowball Method involves paying off debts with the highest interest rates first. Question 1 5 options: TrueFalse

Q:

3. Are there specialized training programs for key personnel that emphasize the marketing concept and help develop a thorough understanding of how marketing integrates into the organization?

Q:

A random sample of 51 fatal crashes in 2013 in which the driver had a positive blood alcohol concentration (BAC) from the National Highway Traffic Safety Administration results in a mean BAC of 0.167...

Q:

How much time do Americans spend eating or drinking? Suppose for a random sample of 1001 Americans age 15 or older, the mean amount of time spent eating or drinking per day is 1.22 hours with a...

Q:

A Tootsie Pop is a sucker with a candy center. A famous commercial for Tootsie Pops once asked, "How many licks to the center of a Tootsie Pop?" In an attempt to answer this question, Cory Heid of...

Q:

5. Caffeine Content: A consumer research organization states that the mean caffeine content per 12-ounce bottle of a population of caffeinated soft drinks is 37.7 milligrams. You want to test this...

Q:

Last year Molex's net cash provided by operating activities was $14.1 million and its net cash used by A-resting activities was $20.7 million. If net cash provided by financing activities was $9.8...

Q:

Alpine Stables, Incorporated, is established in Denver, Colorado, on April 1, 2023, to provide stables, animal care, and grounds for riding and showing horses. You have been hired as the new...