Short Note: Vector in Matriculation Syllabus

This is a vector note made by me during my matriculation studies. For the first time, I don't even think to share the notes as I thought it was not really could beneficial for other people, especially students. But, never mind. As I studied in a physics course (I'm an undergraduate, 2022), vectors could be very useful in mechanics because they can visually represent position, displacement, velocity, and acceleration. Such example, cross-product could be very useful when we want to find the angular momentum of the rigid body. You do really need to be good at vectors or at least get a basis. Then you can understand easily in mechanics. Vectors are about directions, that move through space. Thus, you should be able to imagine it as it's in 1, 2, or 3 dimensional.

These notes include the Magnitude, Unit vector, dot product, cross product, area of the parallelogram, parallel vs perpendicular, area of the triangle, equation of the straight line (vector equation, parametric equation, cartesian/Symmetry equation), vectors angles, equation of a plane (vector equation, cartesian/symmetry equation), problem-solving of a plane, problem-solving of point of intersection (line & plane).

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