Vectors (Physics)

Recall cards on vectors: scalars versus vectors (magnitude and direction, notation, displacement, equal, parallel, antiparallel, orthogonal, and negative vectors, scalar multiplication, resultants, the commutative, associative, and distributive laws, the parallelogram and tail-to-head rules, unit vectors, and vector subtraction); coordinate systems and components (vector and scalar components, the unit vectors i-hat, j-hat, and k-hat, component form, magnitude and direction angle from components, quadrant rules, polar coordinates, and right-handed axes); the algebra of vectors (the analytical component method, component-wise addition, subtraction, and scalar multiplication, equality, the null vector, and unit vectors from magnitude); and the products of vectors (the scalar or dot product and the vector or cross product, their properties, unit-vector identities, component forms, and the applications to work and torque).