Resultant Vectors: Understanding Vector Addition

How do we find the resultant of two vectors?

When are vectors added together to find the outcome?

Answer:

When two vectors are in the same direction, we use addition to find the resultant. Similarly, when two vectors are in parallel or anti-parallel, we also use addition to find the resultant vector. Vectors are added together to find the outcome. The trigonometric functions can be used to calculate the magnitude of the new vector by adding the x and y components of each vector.

Understanding Vector Addition:

Vector addition is the process of combining two or more vectors to find their resultant vector. When the tails of two vectors are linked at a common point, the parallelogram law of vector addition is used to add the two vectors. The resultant vector is obtained by subtracting the two vectors' opposite directions from one another. In this situation, the resultant vector is the result of the second vector's direction opposite that of the first vector.

Therefore, in the case of parallel or anti-parallel two vectors, the resultant vector's magnitudes are equal to the sum of the magnitudes of the two vectors. This means that the magnitude of the resultant vector is equal to the sum of the magnitudes of the individual vectors.