In 2 dimensions the angle made by the displacement vector with the positive x-axis is arctan(y/x).
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tHERE IS NO DIRECT WAY TO FINDS OUT THIOS MATHEMATICAL EQUATION!
Here are two ways to know if a given quadratic equations can be factored (can be solved by factoring). 1. Calculate the Discriminant D = b^2 - 4ac. When D is a perfect square (its square root is a whole number), then the given equation can be factored. 2. Solve the equation by using the new Diagonal Sum method (Amazon e-book 2010). This method directly finds the 2 real roots without having to factor the equation. Solving usually requires fewer than 3 trials. If this method fails to get the answer, then we can conclude that the equation can not be factored, and consequently the quadratic formula must be used.
Ruler/Walking ruler thingy
The gradient of the tangents to the curve.
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