# SOLUTION: Hello. I need to find an x such that <5,6> and <2,3x> are a)parallel, b)orthogonal, and c)neither. How do i do this?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Hello. I need to find an x such that <5,6> and <2,3x> are a)parallel, b)orthogonal, and c)neither. How do i do this?       Log On

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 Click here to see ALL problems on Geometry Word Problems Question 475562: Hello. I need to find an x such that <5,6> and <2,3x> are a)parallel, b)orthogonal, and c)neither. How do i do this? Answer by Edwin McCravy(8880)   (Show Source): You can put this solution on YOUR website!```<5,6> and <2,3x> To be parallel one must be a multiple of the other: <5,6> = k<2,3x> <5,6> = <2k,3kx> For the first equation k = Substitute in the second equation: 6 = 3()x 12 = 3(5x) 12 = 15x = x = x -------------------------- <5,6> and <2,3x> To be orthogonal their dot product must be 0: <5,6>•<2,3x> = 0 (5)(2)+(6)(3x) = 0 10+18x = 0 18x = -10 x = x = ---------------------------------- To be neither, choose x as anything other than those two values. Edwin```