To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is …

Sal shows how to add vectors by adding their components, then explains the intuition behind adding vectors using a graph.

Now, when we wanna take the sum of the two vectors, let me write it here, vector a plus vector b, I can just add the corresponding components. This is going to be equal to four cosine of 170 …

Since vector addition forms a triangle, we can think about angles that are formed at the intersections. We know that the larger the angle, the larger the side opposite to it.

The sum of any two vectors is a vector, and if you add two vectors with the same magnitude and opposite directions, you get the zero vector. The direction of the zero vector is undefined.

This topic covers: - Vector magnitude - Vector scaling - Unit vectors - Adding & subtracting vectors - Magnitude & direction form - Vector applications

Don't confuse a vector with its magnitude. If p and q are vectors, and the sum of these two vectors is the vector r, then we simply write p+*q*=r. If we say that p has magnitude p and q has …

Watch Sal add two vectors given in magnitude and direction form by breaking them down into components first.

To subtract two vectors, we simply add the first vector and the opposite of the second vector, i.e., a+b=a+ (-b).

You don't actually see any vector, you just see the result. The result can be explained by one arrow that goes along the hypotenuse, or by two that go at right angles.