diff --git a/pytorch3d/renderer/cameras.py b/pytorch3d/renderer/cameras.py
index 4f8fdbd7..f2de3d5a 100644
--- a/pytorch3d/renderer/cameras.py
+++ b/pytorch3d/renderer/cameras.py
@@ -916,8 +916,8 @@ def look_at_rotation(
             msg = "Expected arg %s to have shape (N, 3); got %r"
             raise ValueError(msg % (n, t.shape))
     z_axis = F.normalize(at - camera_position, eps=1e-5)
-    x_axis = F.normalize(torch.cross(up, z_axis), eps=1e-5)
-    y_axis = F.normalize(torch.cross(z_axis, x_axis), eps=1e-5)
+    x_axis = F.normalize(torch.cross(up, z_axis, dim=1), eps=1e-5)
+    y_axis = F.normalize(torch.cross(z_axis, x_axis, dim=1), eps=1e-5)
     R = torch.cat((x_axis[:, None, :], y_axis[:, None, :], z_axis[:, None, :]), dim=1)
     return R.transpose(1, 2)