Given the vectors: a = (2m β 3n, 4n β m) and b = (2, -3), find the values of m and n that make: a = 5 b.
Question
Answer:
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)
solved
general
10 months ago
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