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
4.688 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 limit as x approaches infinity of (3x^2 + 5)/(2x^2 - x + 1)?
+
Math Question: How many ways can 5 students be arranged in a line for a class photo?
+
What is the length of the hypotenuse if the other two sides of a right triangle measure 6 cm and 8 cm?
+
New questions in Mathematics