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Diffstat (limited to 'website/mathematics/linear_algebra/source')
| -rw-r--r-- | website/mathematics/linear_algebra/source/introduction.ms | 16 | ||||
| -rw-r--r-- | website/mathematics/linear_algebra/source/introduction.pdf | bin | 24790 -> 25350 bytes |
2 files changed, 15 insertions, 1 deletions
diff --git a/website/mathematics/linear_algebra/source/introduction.ms b/website/mathematics/linear_algebra/source/introduction.ms index 106ffec..6b69a41 100644 --- a/website/mathematics/linear_algebra/source/introduction.ms +++ b/website/mathematics/linear_algebra/source/introduction.ms @@ -45,7 +45,8 @@ coord x 0, 11 y 0, 11 Now, let's imagine that this point $(3, 2)$ represents a force in a certain direction. For example, we can draw a line from the origin to this point and the resulting force's magnitude will be represented by the length of the line in question (which can be obtained -via the pythagorean theorem). +via the pythagorean theorem), and the direction of the force will be outwards from the origin +following the line. .G1 draw solid @@ -55,3 +56,16 @@ coord x 0, 11 y 0, 11 "(3, 2)" above at 3,2 "$sqrt {3 sup 2 + 2 sup 2}$" above at 1,2 .G2 + +.PP +We can now imagine another line segment drawn from the origin $(-1, 3)$, which we can imagine +to be another force acting in a different direction with a different magnitude: + +.G1 +draw solid +coord x -10, 10 y -10, 10 +0 0 +3 2 +-1 3 +"(3, 2)" above at 3,2 +.G2 diff --git a/website/mathematics/linear_algebra/source/introduction.pdf b/website/mathematics/linear_algebra/source/introduction.pdf Binary files differindex b74d28a..563569a 100644 --- a/website/mathematics/linear_algebra/source/introduction.pdf +++ b/website/mathematics/linear_algebra/source/introduction.pdf |