$MathMaster logo$

MathMaster

Home
general
given the vectors a 2m 3n 4n m and b 2 3 find the values of m and n that make a 5 b

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.

$Expert avatar$

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)

Question: What is the dot product of vectors u = (5, -3) and v = (-2, 7)?

+

What is the domain and range of the square root function f(x) = √x? (properties of square root function)

+

What is the value of the cubic function f(x) = (2^3) + (3^3) + (4^3) + ... + (10^3)?

+

New questions in Mathematics

To calculate the probability that a player will receive the special card at least 2 times in 8 games, you can use the binomial distribution. The probability of receiving the special card in a single game is 1/4 (or 25%), and the probability of not receiving it is 3/4 (or 75%).

reduction method 2x-y=13 x+y=-1

-442/c+5=26 what is c?

Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?

5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?

I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.

solve the following trigo equation for 0°<= x <= 360°. sec x =-2

The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are listed below. 23.0 21.2 23.5 23.6 20.1 24.3 25.2 26.9 24.6 22.6 26.1 23.1 25.8 24.6 24.3 24.1 24.8 22.1 22.8 24.5 (a) Find the z-scores for the largest measurement. (Round your answers to two decimal places.) z =

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

(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.

In a company dedicated to packaging beer in 750 mL containers, a normal distribution is handled in its packaging process, which registers an average of 745 mL and a standard deviation of 8 mL. Determine: a) The probability that a randomly selected container exceeds 765 mL of beer b) The probability that the beer content of a randomly selected container is between 735 and 755 mL.

9/14 x 7/27 carry out indicated operation

find missing measure for triangle area = 48 m square base = 10m heaighy = ? m

A company has had the following data for two consecutive years. Total, asset item 3,100,500 euros 3,300,550 euros. Net amount of business figures 4,755,250 euros /5,100 euros Average number of workers employed during the year 64/70 You can present a balance sheet in an abbreviated form

A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"

A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?

draw the condensed formula fpr 3,3,4 triethylnonane

In an experiment to assess the effect of listening to audiobooks while driving, participants were asked to drive down a straight road in a driving simulator. The accompanying data on time (in milliseconds) to react when a pedestrian walked into the street for 10 drivers listening to an audiobook are consistent with summary statistics and graphs that appeared in the paper "Good Distractions: Testing the Effect of Listening to an Audiobook on Driving Performance in Simple and Complex Road Environments."† (Round your answers to four decimal places.) 1,018 1,007 1,054 988 937 1,030 1,065 1,011 860 1,106 A button hyperlink to the SALT program that reads: Use SALT. Calculate the variance for this data set. 7437.7333 Incorrect: Your answer is incorrect. Calculate the standard deviation for this data set. 86.2022 Incorrect: Your answer is incorrect.