CHEM 5 Lecture Notes - Kronecker Delta, Wolfram Mathematica (Software), Cross Product
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A scalar quantity: one that has a single value (magnitude) at a particular point in space. ex: distance, speed, electric potential. A vector: quantity has both magnitude and direction at each point in space. ex: position, velocity, electric field. the set of n vectors e1, e2, , en are said to be lienarly independent if. In this case the vectors ei span an n-dimensional vector space, and they can be chosen as the basis vectors in that space. An arbitrary vector v can therefore be expressed as. N vi ei = v1 e1 + v2 e2 + + vn en. I=0 v = i=1 v = hv1, v2, , vnl. In[30]:= clear@u, v, r, sd; u =8u1, u2, u3< v =8v1, v2, v3< r =81, 1, 1< s =8-1, -2, 1< With not all the constants vi equal to zero. With the choice of basis vectors understood, a vector may be specified by listing its components.
