Find the resultant of the following system of force vectors. And first we are going to set the scale we are going to work with and we choose that 10 new are equal to 10 cm. And we observe that since 10 newtons are equivalent to 10 cm, then 1 newton is equivalent to 1 cm. So with this scale we have that 6 new is equal to 6 cm. And now that we have set our scale, let's redraw our vectors and start by drawing the vector with a magnitude of 10 new and an angle of 30º. For that, we're going to measure the 30g angle with the protractor. And here it is. And we observe that 30 grams are found here. And then we measured 10 cm with the ruler and drew the vector. And here it is. Now we are going to draw the next vector which has a magnitude equal to 6 N. And first we measure 150º with the protractor. We already observed that this 150º angle is located here and then we measured 6 cm with our ruler and drew the vector. And here it is. Now we are going to draw lines parallel to each vector to form a parallelogram. And we begin by drawing a line parallel to the vector of magnitude 10 news, at the end of the other vector. And here it is . And now we are going to draw a line parallel to the vector of magnitude 6 newtons at the end of the other vector. And here it is . Now we will draw the resultant force vector, which goes from the origin to the intersection of the lines. And here it is. And now we're going to measure its magnitude with the ruler. We already observed that it measures 8.7 cm. And according to our scale, this is equivalent to 8.7 N. And finally, we're going to measure its direction using the protractor. And we observe that the angle measures 67º. So, to conclude, we have that the resultant force vector has a magnitude of 8.7 N and a direction of 67º. Well, friends, thanks for visiting. If you liked this video, subscribe and share it. More on this topic online.