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→Vectors
Normally, we don't allow vectors (like <math>\vec{i} \ </math>) to be elements of a matrix or a determinant, but in this case, we make an exception because the formula is so useful and easy to remember. We will encounter a similar exception to the rules when we give an easy way to remember the formula for '''curl.'''
Normally, we don't allow vectors (like <math>\vec{i} \ </math>) to be elements of a matrix or a determinant, but in this case, we make an exception because the formula is so useful and easy to remember. We will encounter a similar exception to the rules when we give an easy way to remember the formula for '''curl.'''
'''In this course, we will frequently switch between the notations <math>(x,y,z), x\vec{i}+y\vec{j}+z\vec{k},</math> and <math>\begin{pmatrix}x\\y\\z\end{pmatrix} \ </math> without discussion of the switch: constantly keep in mind that these are all ways of saying the same thing.'''
==Vector Functions and Vector Fields==
==Vector Functions and Vector Fields==