Question

What are the coordinates of the vector 0 in the Euclidean plane that satisfies condition - "There exists a vector denoted 0 such that x +0= x for each vector x" ?

Prove that this choice of coordinates does satisfy the condition - "There exists a vector denoted 0 such that x +0= x for each vector x"

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Algebra

Other

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: A social agency provides emergency food and shelter to two groups of clients. The first group has x ...

A: Part (a):

Q: At a simple interest rate r, an amount of money P grows to an amount A in t years according to the f...

A: Given,At a simple interest rate r, an amount of money P grows to an amount A in t years according to...

Q: Solve the following pair of linear equations by the substitution method. 0.2x + 0.3y = 1.30.4x + 0.5...

A: The given set of equations are

Q: Let f' : N → R be a function defined as f'(x) = 4x2+ 12x + 15. Show thatf : N→ S, where, S is the ra...

A: Click to see the answer

Q: If x varies directly as y, and x=24 when y=8, find x when y=10

A: Given:x varies directly as y

Q: Explain how to graph x2 + y2 = 1.

A: Given:Explain how to graph x2 + y2 = 1.

Q: Evaluate the determinants of the matrices below by any legitimate method. In each case C is the fiel...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: Vera and Vikki are sisters. Vera is 4 years old and Vikki is 13 years old. What age will each sister...

A: Given that Vera is 4 years old and Vikki is 13 years old. Obtain the age of each sister when Vikki i...

Q: Explain identity matrix along with an example.

A: Identity matrix is a matrix in which all the diagonal elements are 1’s and rest are 0’s.

Q: In April 2011, Consolidated Edison (ED) stock cost $50 per share and yielded 5% per year in dividend...

A: Let there are x ED shares and y NGG shares.ED share and NGG share both  costs $50 eachYou have inves...

Q: Many gas stations give a discount for using cash instead of a credit card. A gas station gives a dis...

A: Let the cost for 1 gallon be x.

Q: a) Verify that the sum of two bilinear forms is a bilinear form. b) Verify that the product of a sca...

A: (a) Verify that the sum of two bilinear forms is a bilinear form as follows.

Q: I need help solving this question

A: Given:

Q: James invested half of his money in land, a tenth in stock, and a twentieth in saving bonds. Then, h...

A: Let x be the total amount saved or invested.

Q: Ikentie each esxpression a lolynomal, for each pognomia, quue te Legre and idennA aus each eupressiO...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Choose the correct answer :If A, B are symmetric matrices of same order, then AB – BA is a(A) Skew s...

A: Choose the correct option.

Q: if f(x)=3x+8 find the following f(x+h)

A: Given f(x)=3x+8.To find f(x+h) we have to plug x+h in place of x in the given equation.

Q: In physics, Hooke's law states that (within certain limits) there is a linear relation between the l...

A: From the given table we try to estimate a line (using linear regression formula).

Q: solve the equation in the attached image:

A: Click to see the answer

Q: 8.1.1 Given cost and rate for selling price, find the markup percentage, selling price, and markup a...

A: Given, cost is $16.50 which is 100% and selling percentage is 125%.

Q: Luis motorboat took 3 hours to make trip downstream on a river flowing at 5mph.The current trip agai...

A: Find the speed of boat. (i.e.) x.At downstream:

Q: y=6/5 + 1/2

A: Given expression is 

Q: Baking a tray of blueberry muffins takes 4 cups of milk and 3 cups of wheat flour. A tray of pumpkin...

A: Let blueberry muffins be x and the wheat flour be y. Baking a tray of blueberry muffins takes 4 cups...

Q: Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} issymmetric but neither ...

A: Given, relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)}.

Q: This week Bob puts gas in his truck when the tank was about half empty. Five days later, bob puts ga...

A: Given that bob puts gas in his truck when tank was about half empty. Five days later bob puts gas ag...

Q: what is the measure of angle LKO if the measure of angle NKO is 25 degrees?

A: It is given that the measure of the angle,

Q: -5+2(8-12)

A: Use PEMDAS rule to simplify.First we work with the parenthesis. In it 8-12=-4

Q: A transit is 200 feet from the base of a building. There is man standing on top of the building. The...

A: The given data can be represented in the following figure.

Q: The following table provides data on three popular protein supplements. (Figures shown correspond to...

A: Given:Designer Whey and Muscle Milk that supplies exactly 110 grams of carbohydrates and costs a tot...

Q: •2valuate Cach expression for P -4,2=8Y and 10

A: The given values of the variables are,

Q: √-4 √-9 I need step by step instructions.

A: Given the product is

Q: Let V be an inner product space, and suppose that T: V→V is linear and that ||T(x)|| = ||x|| for all...

A: Given:

Q: On a certain exam, Tony corrected 10 papers and found the mean for his group to be 75. Alice correct...

A: Given: Tony corrected 10 papers and mean for his group is 75 and Alice corrected the remaining 20 pa...

Q: Write the equation of each circle in standard form. The coordinates of the center and the radius for...

A: Consider the circle one with center coordinates (h,k) = (-2, 1) and find the radius of the circle by...

Q: a rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are ...

A: A rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are ...

Q: For each of the following pairs of vectors u and v in R², compute the area of the parallelogram dete...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Let f : N → Y be a function defined as f(x) = 4x + 3, where,                                 Y = {y ...

A: Given:

Q: if 20% of vehicles are blue and 1/3 of blue vehicles are trucks what fraction of blue vehicles are t...

A: 20% of vehicles are blue Convert 20% into fraction.  

Q: Show the concept of addition of matrices Along with an example.

A: Consider two matrix A and B of same order say 3*3.

Q: There are 80 questions on a college entrance examination. Two points are awarded for each correct an...

A: Given that, there is a total of 80 questions. Let the number of correct answers be c. Then, the numb...

Q: Place each of the following numbers in a column and then add. 26.762+17.8263+8.8495+3.32 26.762+17.8...

A: Given,

Q: Show that if f : A → B and g : B → C are onto, then gof : A → C is also onto.

A: Given, f : A → B and g : B → C are onto.

Q: The area of a rectangle is 24 cm2. The width is two less than the length. What is the length and wid...

A: Consider the formula for area of rectangle, and relationship between length and width of rectangle.L...

Q: A limestone statue is 56 years older than a marble statue. In 12 years, thelimestone will be three t...

A: Click to see the answer

Q: A customer bought $120 worth of coffee at $15 per pound and $72 worth of coffee at $18 per pound. On...

A: Given:

Q: Manufacturing. Bright Ideas is planning to make a new kind of lamp. Fixed costs are $90,000, and var...

A: Given:

Q: Simplify the following expression 8x2 -3 - 12x2 +10 +5x

A: given:

Q: if you are going 279 miles and your car gets 28 miles to the gallon. and a gallon of gas is $2.33 a ...

A: Obtain the amount of gas used as follows.

Q: The sum of 3 consecutive even numbers is 78. Find the numbers.

A: Given: The sum of 3 consecutive even numbers is 78. Find the numbers.

Q: The percent return rate of a growth fund, income fund, and money market are 10%, 7%, and 5% respecti...

A: To determine the amount invested in the growth fund, income fund and money fund.