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
4.6111 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 area of a triangle with base length 10 units, height 8 units?
+
What is the midpoint formula for two coordinates (x₁, y₁) and (x₂, y₂)?
+
Math question: What is the limit as x approaches 5 of (3x^2 - 10x + 5) / (x - 5)?
+
New questions in Mathematics