1. Sketch the following vectors:
2. Give the matrix (bracket) form of the following vectors. Each square is one unit.
(a) |
(b) |
(c) |
(d) |
3. Draw the following vector triangles:
(a) |
(b) |
(c) |
(d) |
4. ABCD is a rhombus.
(a) Give a vector equal to . (b) Complete = ______ (c) True or false? (d) Complete _______ (e) Complete = _______
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5. Complete a vector triangle to illustrate:
6. A ferry needs to sail straight across a river. It is able to travel at a speed of 12 km/h in still water but the river flows at 5km/h. Draw a vector triangle to show this and find the angle that the ferry must head from the bank and the resultant speed of the ferry across the river. |