Transforming Vector Equation in ax + by = c

[Peter G.]

There's no information whatsoever about that in my book and my teacher never taught me how to do it. Could anyone maybe give me some tips or point me out a good website? Thanks!

 

[LCKurtz]

You haven't given us enough information to even know what your question is.

 

[Peter G.]

I meant in a general sense, but I can write a question if it helps:

(These should be column vectors, but I don't know how to show them in here:)

(x y) = (2 0) + t(0.7 1)

I have to turn that into a c = ax + by form but I have no idea how to start...

 

[LCKurtz]

I meant in a general sense, but I can write a question if it helps:

(These should be column vectors, but I don't know how to show them in here:)

(x y) = (2 0) + t(0.7 1)

I have to turn that into a c = ax + by form but I have no idea how to start...

Write what x equals, what y equals, and eliminate the t between the two equations.

 

[Peter G.]

But if I substitute for x and y I only have one unknown, do I need two equations?

 

[LCKurtz]

Write what x equals, what y equals, and eliminate the t between the two equations.

But if I substitute for x and y I only have one unknown, do I need two equations?

Each component of the vector equation gives you an equation involving t. Eliminate the t variable between those two equations.