Mark/handouts
1
0
Fork 0
Code Pull Requests 1 Actions Packages Releases Activity

Cleanup

Browse Source
This commit is contained in:
Mark
2023-04-19 08:58:26 -07:00
parent 74a24c50ce
commit 08add061e2
4 changed files with 7 additions and 7 deletions
Download Patch File Download Diff File Expand all files Collapse all files

4
Advanced/Linear Algebra 101/parts/2 dotprod.tex
View File

@ -40,7 +40,7 @@ Show that the dot product is
\problem{}
Say you have two vectors, $a$ and $b$. Show that $\langle a, b \rangle$ = $||a||~||b||\cos(\alpha)$ \\
Say you have two vectors, $a$ and $b$. Show that $a \cdot b$ = $||a||~||b||\cos(\alpha)$ \\
\hint{What is $c$ in terms of $a$ and $b$?}
\hint{The law of cosines is $a^2 + b^2 - 2ab\cos(\alpha) = c^2$}
\hint{The length of $a$ is $||a||$}
@ -83,7 +83,7 @@ Say you have two vectors, $a$ and $b$. Show that $\langle a, b \rangle$ = $||a||
\vfill
\problem{}
If $a$ and $b$ are perpendicular, what must $\langle a, b \rangle$ be? Is the converse true?
If $a$ and $b$ are perpendicular, what must $a \cdot b$ be? Is the converse true?
\vfill