I have to find the magnitude and direction of a resultant vector from values obtained from a vector table.

The values in the book that we had to follow and put on the balancing part of the weight table were in

F1= (0.200)g N

when calculating the value for R would I use it like that? Or would I have to convert it to N since I'm not sure if I can use it like that but the masses used were using g so...can I?

Thank you

To find the magnitude and direction of the resultant vector, you first need to understand the data provided. In this case, F1 is given as (0.200)g N.

Here's how you can calculate the magnitude and direction of the resultant vector:

1. Understand the units:
The value given in the vector table is (0.200)g N. The "N" represents Newtons, which is the standard unit of force. The "g" represents the acceleration due to gravity, typically given as 9.8 m/s² on the surface of the Earth.

2. Convert the given value to Newtons (if needed):
If the masses used in the problem were given using the acceleration due to gravity (g), then you can directly use the given value of (0.200)g N for F1. However, if the masses were given in kilograms (kg) or grams (g), you would need to convert them to Newtons using the formula F = m × g, where "F" is the force in Newtons, "m" is the mass, and "g" is the acceleration due to gravity.

3. Apply vector addition:
If you have other vectors in the table, let's say F2, F3, and so on, you need to add them all together to find the resultant vector. Vector addition involves combining the magnitudes and directions of the individual vectors. You can use either graphical methods (such as scaling and drawing arrows) or mathematical methods (such as using components) to add the vectors.

4. Find the magnitude:
To find the magnitude of the resultant vector, use the Pythagorean theorem. If you have added all the vectors together, the magnitude of the resultant vector is the square root of the sum of the squares of the magnitudes of all the vectors involved.

5. Find the direction:
To find the direction of the resultant vector, use trigonometry. You can use inverse trigonometric functions (such as arctan) to determine the angle that the resultant vector makes with a reference direction.

Remember to review any specific instructions or conventions provided in the book or by your teacher, as there may be additional steps or considerations specific to your problem.