Represent the following graphically:

i. a displacement of 40 km, 30° east of north

ii. a displacement of 50 km south - east

iii. a displacement of 70 km, 40° north of west.

i. a displacement of 40 km, 30° east of north

Step 1: Draw north, south, east and west as shown below:

Step 2: Plot a line 30° east of north as shown below:

Step 3: Define scale and mark 40km on line

Let the scale be 10km = 1cm

∴ represents the displacement of 40 km, 30^o East of North

ii. a displacement of 50 km south - east

Step 1: Draw north, south, east and west as shown below:

Step 2: As the displacement should be south - east, the angle between the displacement and east (or south) will be 45°. Now, plot a line 45° east of south as shown below:

Step 3: Define scale and mark point R such that OR = 50km on line . Let the scale be 10km = 1cm

∴ represents the displacement of 50 km south – east

iii. A displacement of 70 km, 40^o north of west.

Step 1: Draw north, south, east and west as shown below:

Step 2: Plot a line 40° north of west as shown below:

Step 3: Define scale and mark point R such that OR = 70km on line .Let the scale be 10km = 1cm

∴ represents the displacement of 70 km, 40^o north of west