If given A,B,C, Find constants x,y |xA +yB=C

  • #1

Homework Statement


Three vectors are given:
A=2i+3j, B=1i+5j, C=-1i+3j
Find constants x and y such that xA+yB=C

Homework Equations


N/A

The Attempt at a Solution


The form of the final equation reminded me if standard form of a slope, so I found the total vector for A,B, and C. I was then going to put it in the form Ax+By=C, but then I realized I’d be solving for slope, and I don’t think that’s the direction I want to go.
 

Answers and Replies

  • #2
andrevdh
Homework Helper
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try separating the vector equation xA + yB into their two components - that is two equations, one for i and one for j
 

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