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
likes1491 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.
Eliseo
4.6110 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 length of the adjacent side of a right triangle if the hypotenuse is 10 and the angle is 30 degrees?
+
Q: What is the derivative of f(x) = 4x^3 - 7x^2 + 9x - 12?
+
Find the derivative of f(x) = sin(2x) - cos(3x).
+
New questions in Mathematics