diff --git a/src/basis.typ b/src/basis.typ
index da5bc01..f1c07d1 100644
--- a/src/basis.typ
+++ b/src/basis.typ
@@ -536,8 +536,8 @@ using the word "determinant" in place of "basis".
 #recipe(title: [Recipe for computing the number of solutions to a system of equations])[
   Suppose you are asked to find the number of solutions to a square system
   $
-    a_11 x_1 + a_12 x_2 + ... + a_1n x_n &= b_1 \
-    a_21 x_1 + a_22 x_2 + ... + a_2n x_n &= b_2 \
+    a_11 x_1 + a_12 x_2 + ... + a_(1n) x_n &= b_1 \
+    a_21 x_1 + a_22 x_2 + ... + a_(2n) x_n &= b_2 \
     &dots.v \
     a_(n 1) x_1 + a_(n 2) x_2 + ... + a_(n n) x_n &= b_n.
   $
diff --git a/src/vectors.typ b/src/vectors.typ
index 14d65b4..c5021d1 100644
--- a/src/vectors.typ
+++ b/src/vectors.typ
@@ -230,7 +230,7 @@ But the sign carries a bit more information.
     detmat(x_2, x_1; y_2, y_1) = -"area". $
 
 - In 3D, the convention follows the right-hand rule:
-  suppose vectors $bf(v)_1$, $bf(v)_2$, $bf(v)_3$ are given it that order.
+  suppose vectors $bf(v)_1$, $bf(v)_2$, $bf(v)_3$ are given in that order.
   Curl the fingers of your right hand from $bf(v)_1$ to $bf(v)_2$;
   then the signed volume is positive if your thumb points in the direction of $bf(v)_3$
   (as in @fig-parallelepiped, for example) and negative otherwise.