Final answer:
A brick laid vertically with the longer face edge exposed is called a rowlock brick. This is one of the various brick laying methods used in masonry, alongside soldier brick, header brick, and stretcher brick.
Step-by-step explanation:
The term for a brick laid vertically with the longer face edge exposed is known as a rowlock brick. This is a type of brick laying method used in masonry constructions. Other terms for brick orientations include soldier brick, which is positioned vertically with the narrow face showing; header brick, laid with its shorter end face showing; and stretcher brick, laid horizontally with its longer edge parallel to the face of the wall.