Add the following vectors using the Triangle Law.
9 N on a heading of [S2°W] and 11 N on a heading of [N31°W].
I've found the magnitude which is 5.9953 but I'm having trouble finding the direction.
not sure about "Triangle Law" , but if you break down into N/S and E/W components , the solution is straight forward
To find the direction of the resultant vector using the Triangle Law, you can follow these steps:
1. Draw the first vector with a magnitude of 9 N on a heading of [S2°W]. This means that the vector is directed 2 degrees west of the south direction.
2. Draw the second vector with a magnitude of 11 N on a heading of [N31°W]. This means that the vector is directed 31 degrees west of the north direction.
3. Place the tail of the second vector at the head of the first vector. Make sure the arrows represent their original directions.
4. Draw the resultant vector from the tail of the first vector to the head of the second vector. This vector represents the sum of the two given vectors.
5. Measure the angle between the resultant vector and the south direction (or north direction if the angle is obtuse) using a protractor or ruler. This angle represents the direction of the resultant vector.
6. Use trigonometry to find the direction angle based on the measured angle. Since the angle is measured west of the south or north direction, you can subtract the measured angle from 180 degrees to get the direction angle.
In this case, to find the direction of the resultant vector, you would measure the angle between the resultant vector and the south direction. Then subtract that measured angle from 180 degrees to obtain the direction angle.