When we take up vectors in two dimensions later in the book, we will routinely u

Question

When we take up vectors in two dimensions later in the book, we will routinely use a similar process to find the direction and magnitude of a given vector from its components, or, conversely, to find the components from the vector's magnitude and direction. Starting with the answers to part (b), work backwards to recover the given radius and angle. Why are there slight differences from the original quantities? (Select all that apply.) keeping more than three significant figures in intermediate steps of each calculation calculator defects using inconsistent equations in doing the calculation in both directions rounding the final calculated values of x and y in the example before using them to work backwards

Explanation / Answer

So generally when we are trying to calculate angle and magnitude or say radius backwards from the vectors the following may contribute to the error in original and calculated values

Options (1) (3) (4)

most importantly

(4)

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