diff --git a/Makefile b/Makefile
index fa4a16f..798b6fa 100644
--- a/Makefile
+++ b/Makefile
@@ -6,7 +6,7 @@
 #    By: tsuchen <tsuchen@student.42.fr>            +#+  +:+       +#+         #
 #                                                 +#+#+#+#+#+   +#+            #
 #    Created: 2024/08/15 12:02:08 by tsuchen           #+#    #+#              #
-#    Updated: 2024/08/27 11:36:32 by tsuchen          ###   ########.fr        #
+#    Updated: 2024/08/27 13:58:10 by tsuchen          ###   ########.fr        #
 #                                                                              #
 # **************************************************************************** #
 
@@ -22,7 +22,7 @@ SRCS_MAP	= map.c
 
 SRCS_RC		= raycasting.c
 
-SRCS_VEC	= vector.c
+SRCS_VEC	= vector.c vector_2.c
 
 PATH_M		= srcs/
 PATH_PS		= srcs/parser/
diff --git a/includes/parser.h b/includes/parser.h
index f07b421..9b46280 100644
--- a/includes/parser.h
+++ b/includes/parser.h
@@ -3,15 +3,16 @@
 /*                                                        :::      ::::::::   */
 /*   parser.h                                           :+:      :+:    :+:   */
 /*                                                    +:+ +:+         +:+     */
-/*   By: jteissie <jteissie@student.42.fr>          +#+  +:+       +#+        */
+/*   By: tsuchen <tsuchen@student.42.fr>            +#+  +:+       +#+        */
 /*                                                +#+#+#+#+#+   +#+           */
 /*   Created: 2024/08/15 15:00:57 by jteissie          #+#    #+#             */
-/*   Updated: 2024/08/16 18:58:41 by jteissie         ###   ########.fr       */
+/*   Updated: 2024/08/27 14:00:34 by tsuchen          ###   ########.fr       */
 /*                                                                            */
 /* ************************************************************************** */
 
 #ifndef PARSER_H
 # define PARSER_H
+
 # include "cub3d.h"
 
 typedef enum e_bool		t_bool;
diff --git a/includes/vector.h b/includes/vector.h
index 03013fb..61a6d48 100644
--- a/includes/vector.h
+++ b/includes/vector.h
@@ -6,13 +6,17 @@
 /*   By: tsuchen <tsuchen@student.42.fr>            +#+  +:+       +#+        */
 /*                                                +#+#+#+#+#+   +#+           */
 /*   Created: 2024/08/27 10:56:32 by tsuchen           #+#    #+#             */
-/*   Updated: 2024/08/27 11:41:19 by tsuchen          ###   ########.fr       */
+/*   Updated: 2024/08/27 13:55:58 by tsuchen          ###   ########.fr       */
 /*                                                                            */
 /* ************************************************************************** */
 
 #ifndef VECTOR_H
 # define VECTOR_H
 
+# include <math.h>
+# include <limits.h>
+# include <stdint.h>
+
 typedef struct s_vec
 {
 	double	x;
@@ -20,7 +24,14 @@ typedef struct s_vec
 }	t_vec;
 
 void	vec_init(t_vec *vec, double x, double y);
+void	vec_add(t_vec *vec_a, const t_vec *vec_b);
+void	vec_sub(t_vec *vec_a, const t_vec *vec_b);
+void	vec_muls(t_vec *vec, double scalar);
+double	vec_dot(const t_vec *vec_a, const t_vec *vec_b);
+double	vec_absv(const t_vec *vec);
+double	vec_dist(const t_vec *vec_a, const t_vec *vec_b);
+void	vec_mirror(t_vec *vec);
+void	vec_transp(t_vec *vec);
 void	vec_rotate(t_vec *vec, double angle);
-t_vec	vec_dot(t_vec *vec_a, t_vec *vec_b);
 
 #endif
diff --git a/srcs/vector/vector.c b/srcs/vector/vector.c
index e55fbc0..eac9e4e 100644
--- a/srcs/vector/vector.c
+++ b/srcs/vector/vector.c
@@ -6,7 +6,7 @@
 /*   By: tsuchen <tsuchen@student.42.fr>            +#+  +:+       +#+        */
 /*                                                +#+#+#+#+#+   +#+           */
 /*   Created: 2024/08/27 11:11:34 by tsuchen           #+#    #+#             */
-/*   Updated: 2024/08/27 11:14:06 by tsuchen          ###   ########.fr       */
+/*   Updated: 2024/08/27 13:32:54 by tsuchen          ###   ########.fr       */
 /*                                                                            */
 /* ************************************************************************** */
 
@@ -17,3 +17,29 @@ void	vec_init(t_vec *vec, double x, double y)
 	vec->x = x;
 	vec->y = y;
 }
+
+void	vec_add(t_vec *vec_a, const t_vec *vec_b)
+{
+	vec_a->x = vec_a->x + vec_b->x;
+	vec_a->y = vec_a->y + vec_b->y;
+}
+
+void	vec_sub(t_vec *vec_a, const t_vec *vec_b)
+{
+	vec_a->x = vec_a->x - vec_b->x;
+	vec_a->y = vec_b->y - vec_b->y;
+}
+
+void	vec_muls(t_vec *vec, double scalar)
+{
+	vec->x = vec->x * scalar;
+	vec->y = vec->y * scalar;
+}
+
+double	vec_dot(const t_vec *vec_a, const t_vec *vec_b)
+{
+	double	dot;
+
+	dot = (vec_a->x * vec_b->x) + (vec_a->y * vec_b->y);
+	return (dot);
+}
diff --git a/srcs/vector/vector_2.c b/srcs/vector/vector_2.c
new file mode 100644
index 0000000..93faa96
--- /dev/null
+++ b/srcs/vector/vector_2.c
@@ -0,0 +1,59 @@
+/* ************************************************************************** */
+/*                                                                            */
+/*                                                        :::      ::::::::   */
+/*   vector_2.c                                         :+:      :+:    :+:   */
+/*                                                    +:+ +:+         +:+     */
+/*   By: tsuchen <tsuchen@student.42.fr>            +#+  +:+       +#+        */
+/*                                                +#+#+#+#+#+   +#+           */
+/*   Created: 2024/08/27 13:33:30 by tsuchen           #+#    #+#             */
+/*   Updated: 2024/08/27 13:55:09 by tsuchen          ###   ########.fr       */
+/*                                                                            */
+/* ************************************************************************** */
+
+#include "vector.h"
+
+double	vec_absv(const t_vec *vec)
+{
+	double	absv;
+
+	absv = sqrt((vec->x * vec->x) + (vec->y * vec->y));
+	return (absv);
+}
+
+double	vec_dist(const t_vec *vec_a, const t_vec *vec_b)
+{
+	double	dist;
+	double	del_x;
+	double	del_y;
+
+	del_x = vec_b->x - vec_a->x;
+	del_y = vec_b->y - vec_a->y;
+	dist = sqrt((del_x * del_x) + (del_y * del_y));
+	return (dist);
+}
+
+void	vec_mirror(t_vec *vec)
+{
+	vec->x = vec->x * -1;
+	vec->y = vec->y * -1;
+}
+
+void	vec_transp(t_vec *vec)
+{
+	double	tmp;
+
+	tmp = vec->x;
+	vec->x = vec->y;
+	vec->y = tmp;
+}
+
+void	vec_rotate(t_vec *vec, double angle)
+{
+	double	new_x;
+	double	new_y;
+
+	new_x = vec->x * cos(angle) - vec->y * sin(angle);
+	new_y = vec->x * sin(angle) + vec->y * cos(angle);
+	vec->x = new_x;
+	vec->y = new_y;
+}