We want to find the sum c+d. To do it we can use the Triangle Method. First, we will translate d so that its tail touches the tip of c.
Now, we will draw the resultant vector from the tail of c to the tip of d.
The green vector c + d is the sum of the given vectors.
Alternative Solution
Parallelogram Method
We found the sum of vectors c and d using the Triangle Method. To find this sum we can also use the Parallelogram Method. To do so, we will translate d so that its tail touches the tail of c.
Now, we will complete the parallelogram and draw the diagonal starting from the point where the tails of c and d are touching each other. The diagonal is our resultant vector.
We obtained the same vector as in the Triangle Method. We can see that both methods are correct and produces the same resultant vector.
