The k-nearest neighbors (kNN) algorithm is a supervised machine learning technique primarily used for classification, based on the principle that similar examples share the same label. It is a non-parametric, lazy learning algorithm that determines class labels by examining the most similar training examples, employing various distance metrics such as Euclidean and Manhattan distances. While kNN is simple and interpretable, it has drawbacks including high computational demands and sensitivity to irrelevant features, with applications in fields like banking, politics, and recognition tasks.