$MathMaster logo$

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)

What is 3/4 of 150?

+

What is the mean, mode, median, range, and average of the following numbers: 7, 12, 9, 9, 5, 7, 8?

+

What is the maximum value of the function f(x) = x^3 - 2x^2 + 3x - 1 on the interval [0, 2]?

+

New questions in Mathematics

Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.

STUDENTS IN A CLASS LEARN ONLY ONE FOREIGN LANGUAGE. two-sevenths of the students learn German, half of the students learn Spanish, and the remaining six students learn Italian. what is the number of students in this class? detail your reasoning carefully.

If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?

Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)

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

What is 28 marks out of 56 as a percentage

Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.

If a two-branch parallel current divider network, if the resistance of one branch is doubled while keeping all other factors constant, what happens to the current flow through that branch and the other branch? Select one: a. The current through the doubled resistance branch remains unchanged, and the current through the other branch decreases. b. The current through the doubled resistance branch decreases, and the current through the other branch remains unchanged. c. The current through the doubled resistance branch increases, and the current through the other branch remains unchanged. d. The current through both branches remain unchanged.

From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539

Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.

Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms

To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?

I have a complex function I would like to integrate over. I can use two approaches and they should give the same solution. If I want to find the contour integral ∫𝛾𝑧¯𝑑𝑧 for where 𝛾 is the circle |𝑧−𝑖|=3 oriented counterclockwise I get the following: ∫2𝜋0𝑖+3𝑒𝑖𝑡⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯𝑑(𝑖+3𝑒𝑖𝑡)=∫2𝜋03𝑖(−𝑖+3𝑒−𝑖𝑡)𝑒𝑖𝑡𝑑𝑡=18𝜋𝑖 If I directly apply the Residue Theorem, I would get ∫𝛾𝑧¯𝑑𝑧=2𝜋𝑖Res(𝑓,𝑧=0)=2𝜋𝑖

Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2

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.