Sections
1. Vector Components
3. Vector Subtraction
4. Mission to Kepler-42
1. Vector Components
 InstructionsRead the introduction A vector in 2 dimensions (X and Y) can be decomposed into its X component and Y component. Each component is the magnitude, or length, of the vector in that dimension. So, in the picture, the vector A has an X component of 2 and a Y component of 3.   InstructionsRead the information and answer the question GoalsAnswer all questions Submit your answers Vector subtraction is component-wise just like addition, but when we want to see vector subtraction geometrically it helps to think about it differently. In general we know that "A - B" is the same as "A + (-B)". Well, that holds for vectors as well. With vectors "-B" is the same magnitude, or length, as "B" but it points in the opposite direction. For example if B is the vector [1,3] then -B is the vector [-1,-3]. Then you can just use the same head-to-tail system you used to add vectors. If you want to treat the vectors involved in the subtraction as "position vectors" then there's yet another way you can think about it! A position vector is a vector that describes a position in space. That is, if we translate (slide) the vector so that its tail is at the origin then its head points to a position which is the same as the X and Y components of the vector. In that situation "A - B" is like asking the question "What direction and how far do I need to travel from B to get to A?" If A and B are both position vectors then their tails are at the origin. Geometrically then, "A - B" is the vector you draw from the head of B to the head of A. Something to notice is that the resultant vector here is the same vector as it was in the head-to-tail method, it's just translated. Really, you can use either method but you might have to translate the result in order to answer the question you're actually asking. Given the image above, answer the questions below. What is the X component of vector C? What is the Y component of vector C?