The minute hand of a wall clock measures 10 cm from its tip to the axis about which it rotates. The magnitude and angle of the displacement vector of the tip are to be determined for three time intervals.

What are

the (a) magnitude and (b) angle from a quarter after the hour to half past,

the (c) magnitude and (d) angle for the next half hour, and

the (e) magnitude and (f) angle for the hour after that?