A delivery robot moves over a large warehouse floor as follows:
1. 500 m due north
2. 300 m due west
3. 400 m towards the south-west along a direction that makes 45∘ with both the south and west directions
Solve the following:
a. (i) Express each leg of motion as a displacement vector in component form taking east as +x and north as +y.
b. (ii) Obtain the resultant displacement vector of the robot and compute its magnitude.
c. (iii) State the direction of the resultant displacement as a bearing measured clockwise from north, correct to the nearest degree.