Question

Sasha says that a vector has a direction component in it; therefore, we cannot add two vectors or subtract one from

the other. His argument is that we cannot add "east" to "north" nor subtract "east" from "north," for instance.
Therefore, he claims, we cannot add or subtract vectors.
a. Is he correct? Explain your reasons.
b. What would you do if you need to add two vectors, u and v, or subtract vector v from vector u arithmetically?

Answer 1

He is incorrect. The addition and subtraction of vector is defined for all cases when you know the information about the vectors

Explanation:

Arithmetically you have to find the x-axis and y-axis component for each vector. In case of adition if the components have the same direction you add then, subtract if they have opposite. Always subtraction of two vectors a and b could be defined as the sum of the a plus -b