Halliday, Resnick & Walker — Motion in Two and Three Dimensions: Problem 2

A watermelon seed has the following coordinates: \(x = -5.0 \text{ m}\), \(y = 8.0 \text{ m}\), and \(z = 0 \text{ m}\). Find its position vector (a) in unit-vector notation and as (b) a magnitude and (c) an angle relative to the positive direction of the \(x\) axis. (d) Sketch the vector on a right-handed coordinate system. If the seed is moved to the \(xyz\) coordinates \((3.00 \text{ m}, 0 \text{ m}, 0 \text{ m})\), what is its displacement (e) in unit-vector notation and as (f) a magnitude and (g) an angle relative to the positive \(x\) direction?