Question

Given the vectors: a = (2m – 3n, 4n – m) and b = (2, -3), find the values of m and n that make: a = 5 b.

298

likes

1491 views

Answer to a math question Given the vectors: a = (2m – 3n, 4n – m) and b = (2, -3), find the values of m and n that make: a = 5 b.

$Expert avatar$

Eliseo

4.6

110 Answers

5b=5(2,-3)=(10,-15) a=5b implies: 2m-3n=10 4n-m=-15 Multiplying the second equation by 2: 2m-3n=10 8n-2m=-30 Solving by elimination method: 5n=-20,n=-4 By substituting back n=-4 in equation 1: 2m-3(-4)=10 2m=10-12 2m=-2 m=-1 Therefore, (m,n)=(-1,-4)

Frequently asked questions (FAQs)

What is the standard deviation of a dataset with the values 6, 8, 10, 12, and 14?

Question: What is the derivative of the function f(x) = ∫(0 to x) (2t^3 + 4) dt?

What is the radian measure, in terms of π, of an angle formed by rotating 5π/4 radians in counterclockwise direction?

New questions in Mathematics

Find an arc length parameterization of the curve that has the same orientation as the given curve and for which the reference point corresponds to t=0. Use an arc length s as a parameter. r(t) = 3(e^t) cos (t)i + 3(e^t)sin(t)j; 0<=t<=(3.14/2)

Find two natural numbers whose sum is 230 and their difference is 10. Set up the system and solve it.

two pails of different sizes contain 34.5 litres of water altogether When 0.68 litre of water is poured from the bigger pail into the smaller pail the amount of water in the bigger pail is 9 times that in the smaller pail. How much water was in the smaller pail at first?

58+861-87

A juice shop prepares assorted juices, for their juices they have 5 different types of fruit. How many types of assortments can be prepared in total, if it is considered an assortment to a juice made with two or more fruits?

7273736363-8

-27=-7u 5(u-3)

calculate the normal vector of line y = -0.75x + 3

Find the sum of the first 41 terms of the progression that begins: 32, 24, 16, …

By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.

7=-4/3y -1

Use the power rule for logarithms to solve the following word problem exactly. If you invest $1, 000 at 5% interest compounded annually, how many years will it take before you have $2,000?

In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be:

The grading on a $159,775 house comes to $3974.75. What percent of the total cost is this? (Express your answer to the nearest hundredth percent.)

16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.

the product of a 2-digit number and a 3-digit number is about 50000, what are these numbers

A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.

The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?

13/25+7/16

Paul invites 12 friends to his birthday. He wants to give 15 candies to everyone two. The candies are sold in packs of 25. How many should he buy? packages?

Given the vectors: a = (2m – 3n, 4n – m) and b = (2, -3), find the values of m and n that make: a = 5 b.

Answer to a math question Given the vectors: a = (2m – 3n, 4n – m) and b = (2, -3), find the values of m and n that make: a = 5 b.

You might be interested in