SOLUTION: If a = (4, 3, 9), b = (2, 8, 5) and c = (0, 7, 1) Calculate the magnitude of 2a - 5b + 3c

Algebra ->  Matrices-and-determiminant -> SOLUTION: If a = (4, 3, 9), b = (2, 8, 5) and c = (0, 7, 1) Calculate the magnitude of 2a - 5b + 3c      Log On


   

Question 757820: If a = (4, 3, 9), b = (2, 8, 5) and c = (0, 7, 1)
Calculate the magnitude of 2a - 5b + 3c
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
2a - 5b + 3c =
2(4, 3, 9)-
5(2, 8, 5)+
3(0, 7, 1) =
(8,6,18)-
(10,40,25)+
(0,21,3) =
(8-10+0,6-40+21,18-25+3)=
(-2,-13,-4)
magnitude :
%0D%0Asqrt%28%28-2%29%5E2%2B%28-13%29%5E2%2B%28-4%29%5E2%29=3sqrt%2821%29
:)