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)
How many ways can a committee of 4 members be formed from a group of 10 people?
+
What is the 3rd derivative of f(x) = 2x^3 + 5x^2 - 3x + 1?
+
What is the value of sine(45 degrees)?
+
New questions in Mathematics
How do you think the company has increased or decreased its income?
a bank finds that the balances in its savings accounts are normally distributed with a mean of $500 and a standard deviation off of $40. What is the probability that a randomly selected account has a balance of more than $400?
[(36,000,000)(0.000003)^2]divided(0.00000006)
30. In 8 s, a car that starts from rest and moves with uniformly accelerated motion has achieved a speed of 72m/s. How much space must it travel to reach a speed of 90m/s? Sunshine: 450 m
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
I need to know what 20% or £3292.75
The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis
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.
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
94 divided by 8.75
2x-5-x+2=5x-11
00 piece jigsaw puzzle. the completed puzzle is 10x10. each piech connects to at least 2 other pieces. i plan to assemble by taking pieces out of box one by one. if i've already taken out 2 pieces that dont directly connect, what is the minimum number of additional pieces that i need to draw to in order to guarentee that the original 2 pieces connect?
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter