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Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
A dot product is a scalar product so it is a single number with only one component. A cross product or vector product is a vector which has three components like the original vectors.
I know if you divide by e^(y/x) you get three of the components, but I can't figure out how to get the fraction with the (x+y) as the denominator and where ...
variables, coefficents, and constants
A triangle has three components - three sides, three angles, and three vertices. The sides are the line segments that connect the vertices, the angles are the measurements between these sides, and the vertices are the points where the sides intersect.