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)
Question: At what points in the interval [0, π] does the tangent function f(x) = tan(x) have a vertical asymptote?
+
What is the vertex form of a square root function?
+
What is the product of the mixed number 3 1/2, the factored number 18, and the real number 4.2?
+
New questions in Mathematics