diff --git a/supervision/detection/line_zone.py b/supervision/detection/line_zone.py
index 4198135d..a1642aee 100644
--- a/supervision/detection/line_zone.py
+++ b/supervision/detection/line_zone.py
@@ -5,6 +5,7 @@ import cv2
 import numpy as np
 
 from supervision.detection.core import Detections
+from supervision.detection.utils import cross_product
 from supervision.draw.color import Color
 from supervision.draw.utils import draw_text
 from supervision.geometry.core import Point, Position, Vector
@@ -158,15 +159,13 @@ class LineZone:
             ]
         )
 
-        cross_products_1 = self._cross_product(all_anchors, self.limits[0])
-        cross_products_2 = self._cross_product(all_anchors, self.limits[1])
+        cross_products_1 = cross_product(all_anchors, self.limits[0])
+        cross_products_2 = cross_product(all_anchors, self.limits[1])
         # anchor is in limits if it's on the same side of both limit vectors
-        in_limits = ~np.logical_xor(cross_products_1 > 0, cross_products_2 > 0)
-        # Reduce array to find out if all anchors for a detection are within limits
-        in_limits = np.min(in_limits, axis=0)
+        in_limits = (cross_products_1 > 0) == (cross_products_2 > 0)
+        in_limits = np.all(in_limits, axis=0)
 
-        # Calculate which anchors lie to the left of the line
-        triggers = self._cross_product(all_anchors, self.vector) < 0
+        triggers = cross_product(all_anchors, self.vector) < 0
         has_any_left_trigger = np.any(triggers, axis=0)
         has_any_right_trigger = np.any(~triggers, axis=0)
         is_uniformly_triggered = ~(has_any_left_trigger & has_any_right_trigger)
@@ -175,8 +174,6 @@ class LineZone:
                 continue
 
             if not is_uniformly_triggered[i]:
-                # One anchor lies to the left of the line
-                # whilst another lies to the right
                 continue
 
             tracker_state = has_any_left_trigger[i]
@@ -197,23 +194,6 @@ class LineZone:
 
         return crossed_in, crossed_out
 
-    @staticmethod
-    def _cross_product(anchors: np.ndarray, vector: Vector) -> np.ndarray:
-        """
-        Get array of cross products of each anchor with a vector.
-        Args:
-            anchors: Array of anchors of shape (number of anchors, detections, 2)
-            vector: Vector to calculate cross product with
-
-        Returns:
-            Array of cross products of shape (number of anchors, detections)
-        """
-        vector_at_zero = np.array(
-            [vector.end.x - vector.start.x, vector.end.y - vector.start.y]
-        )
-        vector_start = np.array([vector.start.x, vector.start.y])
-        return np.cross(vector_at_zero, anchors - vector_start)
-
 
 class LineZoneAnnotator:
     def __init__(
diff --git a/supervision/detection/utils.py b/supervision/detection/utils.py
index aac0d627..671ac8ac 100644
--- a/supervision/detection/utils.py
+++ b/supervision/detection/utils.py
@@ -6,6 +6,7 @@ import numpy as np
 import numpy.typing as npt
 
 from supervision.config import CLASS_NAME_DATA_FIELD
+from supervision.geometry.core import Vector
 
 MIN_POLYGON_POINT_COUNT = 3
 
@@ -966,3 +967,20 @@ def contains_multiple_segments(
         mask_uint8, labels, connectivity=connectivity
     )
     return number_of_labels > 2
+
+
+def cross_product(anchors: np.ndarray, vector: Vector) -> np.ndarray:
+    """
+    Get array of cross products of each anchor with a vector.
+    Args:
+        anchors: Array of anchors of shape (number of anchors, detections, 2)
+        vector: Vector to calculate cross product with
+
+    Returns:
+        Array of cross products of shape (number of anchors, detections)
+    """
+    vector_at_zero = np.array(
+        [vector.end.x - vector.start.x, vector.end.y - vector.start.y]
+    )
+    vector_start = np.array([vector.start.x, vector.start.y])
+    return np.cross(vector_at_zero, anchors - vector_start)
\ No newline at end of file