Remarks When we take up vectors in two dimensions, 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. Question If you start with the answers in part (b) and work backwards to recover the radius and angle, there will be slight differences from the original quantities, What caused this difference? (Select all that apply.) Rounding the value of the tangent of the angle before taking its cosine in the examples 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. Keeping more than three significant figures in intermediate steps of each calculation. Calculator defects. X The equations in both directions are equivalent. Examine the places in the example where calculated values are rounded before using them in the next step, Consider what effect that has in introducing uncertainties in the calculation? Would smaller or larger discrepancies result if you keep a lot of extra