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  = _______

 

 

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.