diff --git a/README.md b/README.md
index 613d7115..57749ba2 100644
--- a/README.md
+++ b/README.md
@@ -531,10 +531,18 @@ vector.obj(pt=1, phi=1.3, eta=2, mass=5).deltaR(
 )
 ```
 
-The opposite—using low-dimensional vectors in operations defined for higher numbers of dimensions—is sometimes defined. In these cases, a zero longitudinal or temporal component has to be imputed.
+For a few operations - `+`, `-`, `==`, `!=`, ... - the dimension of the vectors should be equal. This can be achieved by using the `like` method, `to_{coordinate_name}` methods, `to_Vector*D` methods. The `to_Vector*D` methods provide more flexibility to the users, that is, new coordinate values can be passed into the methods as named arguments.
 
 ```python
-vector.obj(x=1, y=2, z=3) - vector.obj(x=1, y=2)
+v1 = vector.obj(x=1, y=2, z=3)
+v2 = vector.obj(x=1, y=2)
+
+v1 - v2.like(v1), v1.like(v2) - v2, v1 - v2.to_xyz(), v1.to_xy() - v2, v1 - v2.to_Vector3D(z=3), v1.to_Vector2D() - v2
+```
+
+The opposite—using low-dimensional vectors in operations defined for higher numbers of dimensions—is sometimes defined. In these cases, a zero longitudinal or temporal component has to be imputed.
+
+```
 vector.obj(x=1, y=2, z=0).is_parallel(vector.obj(x=1, y=2))
 ```
 
@@ -625,6 +633,7 @@ The (current) list of properties and methods is:
 - `isclose(vector, rtol=1e-5, atol=1e-8, equal_nan=False)`: works like [np.isclose](https://numpy.org/doc/stable/reference/generated/numpy.isclose.html); arrays also have an [allclose](https://numpy.org/doc/stable/reference/generated/numpy.allclose.html) method
 - `to_Vector*D(coordinates)`: replace `*` with the reuquired vector dimension
 - `to_{coordinate-names}`: for example - `to_rhophietatau`
+- `like(other)`: projects the vector into the dimensions of `other`, for example - `two_d_vector.like(three_d_vector)`
 
 ## Compiling your Python with Numba
 
diff --git a/docs/usage/intro.ipynb b/docs/usage/intro.ipynb
index 3b2aa3be..12df82c3 100644
--- a/docs/usage/intro.ipynb
+++ b/docs/usage/intro.ipynb
@@ -1452,60 +1452,60 @@
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-       " 2,\n",
+       " ...,\n",
+       " 0,\n",
        " 2,\n",
        " 1,\n",
+       " 1,\n",
+       " 1,\n",
+       " 0,\n",
        " 0,\n",
        " 2,\n",
-       " 1,\n",
-       " 2]\n",
+       " 5]\n",
        "----------------\n",
        "type: 50 * int64</pre>"
       ],
       "text/plain": [
-       "<Array [1, 1, 3, 2, 0, 2, 0, 3, ..., 3, 2, 2, 1, 0, 2, 1, 2] type='50 * int64'>"
+       "<Array [2, 5, 4, 3, 3, 1, 2, 3, ..., 2, 1, 1, 1, 0, 0, 2, 5] type='50 * int64'>"
       ]
      },
      "execution_count": 56,
@@ -2623,7 +2623,7 @@
    "id": "sensitive-booking",
    "metadata": {},
    "source": [
-    "The opposite—using low-dimensional vectors in operations defined for higher numbers of dimensions—is sometimes defined. In these cases, a zero longitudinal or temporal component has to be imputed."
+    "For a few operations - `+`, `-`, `==`, `!=`, ... - the dimension of the vectors should be equal. This can be achieved by using the `like` method, `to_{coordinate_name}` methods, `to_Vector*D` methods. The `to_Vector*D` methods provide more flexibility to the users, that is, new coordinate values can be passed into the methods as named arguments."
    ]
   },
   {
@@ -2635,7 +2635,12 @@
     {
      "data": {
       "text/plain": [
-       "VectorObject3D(x=0, y=0, z=3)"
+       "(VectorObject3D(x=0, y=0, z=3.0),\n",
+       " VectorObject2D(x=0, y=0),\n",
+       " VectorObject3D(x=0, y=0, z=3),\n",
+       " VectorObject2D(x=0, y=0),\n",
+       " VectorObject3D(x=0, y=0, z=0),\n",
+       " VectorObject2D(x=0, y=0))"
       ]
      },
      "execution_count": 88,
@@ -2644,7 +2649,18 @@
     }
    ],
    "source": [
-    "vector.obj(x=1, y=2, z=3) - vector.obj(x=1, y=2)"
+    "v1 = vector.obj(x=1, y=2, z=3)\n",
+    "v2 = vector.obj(x=1, y=2)\n",
+    "\n",
+    "v1 - v2.like(v1), v1.like(v2) - v2, v1 - v2.to_xyz(), v1.to_xy() - v2, v1 - v2.to_Vector3D(z=3), v1.to_Vector2D() - v2"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e43155a9-9d3a-4e2e-b21e-192f5bb86d94",
+   "metadata": {},
+   "source": [
+    "The opposite—using low-dimensional vectors in operations defined for higher numbers of dimensions—is sometimes defined. In these cases, a zero longitudinal or temporal component has to be imputed."
    ]
   },
   {
@@ -2782,7 +2798,8 @@
     "   * `count()`: can also use `awkward.count`, only for Awkward vectors\n",
     "   * `isclose(vector, rtol=1e-5, atol=1e-8, equal_nan=False)`: works like [np.isclose](https://numpy.org/doc/stable/reference/generated/numpy.isclose.html); arrays also have an [allclose](https://numpy.org/doc/stable/reference/generated/numpy.allclose.html) method\n",
     "   * `to_Vector*D(coordinates)`: replace `*` with the reuquired vector dimension\n",
-    "   * `to_{coordinate-names}`: for example - `to_rhophietatau`\n"
+    "   * `to_{coordinate-names}`: for example - `to_rhophietatau`\n",
+    "   * `like(other)`: projects the vector into the dimensions of `other`, for example - `two_d_vector.like(three_d_vector)`\n"
    ]
   },
   {
@@ -2851,27 +2868,27 @@
     {
      "data": {
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-       " [],\n",
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        " ...,\n",
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-       " [{x: -1.22, y: -0.848, z: -0.486, t: 8.1}, {x: 0.487, y: 2.11, ...}]]\n",
-       "----------------------------------------------------------------------------\n",
+       " [{x: 0.192, y: -1.67, z: 0.301, t: 9.35}, ..., {x: -0.0262, y: -0.865, ...}],\n",
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+       " [{x: 0.108, y: -1.15, z: 0.0149, t: 10.8}],\n",
+       " [{x: 1.43, y: 0.865, z: 0.714, t: 11.7}]]\n",
+       "------------------------------------------------------------------------------\n",
        "type: 50 * var * Momentum4D[\n",
        "    x: float64,\n",
        "    y: float64,\n",
@@ -2880,7 +2897,7 @@
        "]</pre>"
       ],
       "text/plain": [
-       "<MomentumArray4D [[{x: 0.687, y: 1.15, ...}], ..., [...]] type='50 * var * ...'>"
+       "<MomentumArray4D [[{x: 1.41, y: -0.901, ...}, ...], ...] type='50 * var * M...'>"
       ]
      },
      "execution_count": 93,
@@ -2932,16 +2949,16 @@
     {
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-       "       30.40031906,  9.01300947, 10.32904192,  0.        ,  9.0039702 ,\n",
-       "       18.76867382,  9.0933228 ,  9.70217628, 10.06981863, 19.48030101])"
+       "array([20.88220754, 10.53170609, 11.21468016, 26.33429737, 20.48308935,\n",
+       "       10.51241181, 20.78089779,  0.        , 10.45554506, 28.2211139 ,\n",
+       "       22.22801872, 11.45653631,  0.        ,  7.96604642,  9.95269283,\n",
+       "       30.19888184, 11.71400053,  0.        ,  8.83214695,  9.68286926,\n",
+       "       19.89135993,  9.41755798, 20.90063205, 18.0202406 , 27.40962418,\n",
+       "       20.30674879, 20.87463364,  0.        ,  6.90502287, 21.26435081,\n",
+       "       40.96597368,  8.12985287,  9.66074722, 27.32425275,  0.        ,\n",
+       "        8.90431149, 28.39958412, 11.00856468, 18.64689922, 11.0683125 ,\n",
+       "        8.67699199, 27.02091581, 19.71353858, 22.29015586, 10.53469868,\n",
+       "       18.40816583, 10.82519197, 28.88657042, 10.71976876, 11.58433718])"
       ]
      },
      "execution_count": 95,
@@ -2976,6 +2993,14 @@
     "\n",
     "First major release of vector is out and the package has reached a stable position. The work is spearheaded by bug reports and feature requests created on GitHub. It can only be improved by your feedback!"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "7ab4764f-b030-4831-9568-e46e47faf40a",
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {