The primary objective of this work is to utilize the GloVeNoR node embedding technique, as well as the Simplex2Vec triangle embedding technique, to perform higher-order link prediction, i.e., the possibility of an interaction of more than two nodes. Additionally, we evaluate the predictions generated by our methods and compare them with existing higher-order link prediction approaches using various benchmark datasets. Based on our experiments, we show that the triangle embeddings generated using our techniques increase the average performance over the five datasets evaluated using the AUC-PR relative to random baseline as a metric for higher-order link prediction.