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Peter G.
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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!
Peter G. said: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 said:Write what x equals, what y equals, and eliminate the t between the two equations.
Peter G. said:But if I substitute for x and y I only have one unknown, do I need two equations?
A vector equation is an equation that involves vectors, which are quantities that have both magnitude and direction. It is often used to represent geometric concepts such as lines, planes, and surfaces.
To transform a vector equation into the form ax + by = c, you can use the properties of vectors. First, express the vector equation in terms of its components. Then, use algebraic manipulation to isolate the x and y terms on one side of the equation, and the constant term on the other side.
Transforming a vector equation into the form ax + by = c can make it easier to solve for specific values of x and y, as well as to graph the equation on a coordinate plane. It also allows you to compare the equation to the standard form of a line, y = mx + b, where m represents the slope and b represents the y-intercept.
Yes, there are some limitations. This form is only applicable to equations that represent straight lines in a two-dimensional plane. It also assumes that the vector equation is in standard form, meaning it is written as a linear combination of basis vectors.
Yes, there are other forms that a vector equation can be transformed into, such as parametric form or symmetric form. The choice of form depends on the specific application and the information that is needed to solve the equation.