Please help find resultant force of the figure

The resultant force will be 5 N in the South West Direction.

Explanation:

If we have two vectors A and B, their resultant is:

is the angle between A and B

Since, Force is a vector quantity, the answer to he given diagram will be thought out by Vector Laws of Addition.

6N and 9N are in opposite directions, so their resultant will simply be their difference, and it will be pointing in the direction of the vector with larger magnitude.

= 9 - 6

= 3 N

Now, we have two vectors. one of magnitude 4N pointing towards West and the other of magnitude 3N pointing towards South.

It's magnitude will be equal to

(as cos90=0, we're left with the sum of the squares of the two vectors)

= 5N

Therefore, the resultant force will be 5N towards the South-West.