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)
Math Question: Convert 8.76 x 10^5 into standard decimal notation.
+
What is the value (in radians) of an angle formed by a line that intersects the unit circle at coordinates (0.866, 0.5)?
+
What is the measure of an angle bisected into two angles measuring 55 degrees and 125 degrees?
+
New questions in Mathematics