A watermelon seed has the following coordinates: x = -5.0 m, y = 9.0 m, and z = 0 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 m, 0 m, 0 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?

Explanation

(a) `(-5.0m)hati+(9.0m)hatj,` (b) 10 m, ( c) `-61^(@)or119^(@)` (d) `119^(@)` counterclockwise from the +x direction, (e) `Deltavecr=(8.0m)hati-(9.0m)hatj,` (f) 12 m, (g) (`-42^(@),or42^(@)` measured clockwise from +x)