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

Eliseo

4.6

63 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)

Math Question: What is the area, in square units, of a triangle whose base is 5 units long and height is 8 units long?

+

Math Question: In triangle ABC, angle ABC measures 90 degrees. If AD is the diameter of the circle circumscribing the triangle, what is the measure of angle CAD?

+

Find the angle opposite a side of length 8 using SOH CAH TOA.

+

New questions in Mathematics