Vegetative propagation is an important technique in modern Indian agriculture to increase crop yields. It involves reproducing plants through plant parts like stems, roots, and leaves rather than seeds. The key types of vegetative propagation discussed are cuttings, layering, and grafting. Cuttings involve propagating plants from stem, root, or leaf cuttings taken from a mother plant. Layering causes a stem to root while still attached to the parent plant. Grafting involves joining tissue from one plant onto another to propagate commercially important crops like mangoes. Vegetative propagation allows for mass production of plants with desired traits and is widely used in horticultural nurseries.