I already drew a vector diagram for 50m [E] + 32m [W]
The way I drew it: 5cm going East, then starting from the end point, 3.2 cm going west. But now it says determine the resultant of the vector. How do I determine that?
the graph should show you. Go east 50m, then west 32m, leaving you just 18m east of the starting point: 18[E]
To determine the resultant of the vector diagram you drew, you need to find the vector sum of the individual vectors. In this case, you have a vector of 50 m going east and a vector of 32 m going west.
To find the resultant, you can use the method of vector addition. Here's how you can determine the resultant:
1. Assign a direction for positive values. In this case, let's consider east as positive and west as negative.
2. Determine the magnitudes of the vectors. The magnitude of the vector going east is 50 m, and the magnitude of the vector going west is 32 m.
3. Apply the appropriate sign to each vector according to its direction. The vector going east remains positive (+50 m), while the vector going west becomes negative (-32 m).
4. Add the magnitudes algebraically, taking into account the signs. In this case, you will add +50 m and -32 m:
+50 m + (-32 m) = +18 m
5. Once you have the resultant magnitude (+18 m in this case), determine its direction. Since the resultant is positive, it means the resultant is pointing east.
Therefore, the resultant of the vector diagram you drew is 18 m going east.