Consider non-collinear vectors a and b. Suppose A=(x+4y)a+(2x+y+1)b and B=(y-2x+2)a+(2x-3y-1)b Find x and y such that 3A=2B
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Originally Posted by leinadwerdna Consider non-collinear vectors a and b. Suppose A=(x+4y)a+(2x+y+1)b and B=(y-2x+2)a+(2x-3y-1)b Find x and y such that 3A=2B 3A = (3x+12y)a + (6x+3y+3)b 2B = (2y-4x+4)a + (4x-6y-2)b 3x+12y = 2y-4x+4 6x+3y+3 = 4x-6y-2 solve the system for x and y
Originally Posted by skeeter 3A = (3x+12y)a + (6x+3y+3)b 2B = (2y-4x+4)a + (4x-6y-2)b 3x+12y = 2y-4x+4 6x+3y+3 = 4x-6y-2 solve the system for x and y i dont understand why u can set 3x+12y = 2y-4x+4 and 6x+3y+3 = 4x-6y-2
since the 2 vectors 3A and 2B are equal, that must mean each of their respective components are equal to each other.
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