code: def test_dim_can_vector():
      dimsys = DimensionSystem(
          [length, mass, time],
          [velocity, action],
          {velocity: {length: 1, time: -1}},
      )
  
      assert dimsys.dim_can_vector(length) == Matrix([1, 0, 0])
      assert dimsys.dim_can_vector(velocity) == Matrix([1, 0, -1])
  
      dimsys = DimensionSystem(
          (length, velocity, action),
          (mass, time),
          {time: {length: 1, velocity: -1}},
      )
  
      assert dimsys.dim_can_vector(length) == Matrix([0, 1, 0])
      assert dimsys.dim_can_vector(velocity) == Matrix([0, 0, 1])
      assert dimsys.dim_can_vector(time) == Matrix([0, 1, -1])
  
      dimsys = DimensionSystem(
          (length, mass, time),
          (velocity, action),
          {
              velocity: {length: 1, time: -1},
              action: {mass: 1, length: 2, time: -1},
          },
      )
  
      assert dimsys.dim_vector(length) == Matrix([1, 0, 0])
      assert dimsys.dim_vector(velocity) == Matrix([1, 0, -1])
  
file_path: sympy/sympy/physics/units/tests/test_dimensionsystem.py
imports: from sympy.core.symbol import symbols
  from sympy.matrices.dense import Matrix, eye
  from sympy.physics.units.definitions.dimension_definitions import action, current, length, mass, time, velocity
  from sympy.physics.units.dimensions import DimensionSystem
label_desc: Use image node_id 3 for calling a global function with example usage: test_dim_can_vector() without return types