Final answer:
The remedy compelling a vendor to execute a deed according to a contract is called Specific Performance. It is a court-ordered enforcement of the exact terms of the contract, commonly used in real estate transactions.
Step-by-step explanation:
The remedy in court compelling the vendor to execute a deed in pursuance of a valid written contract is known as: A) Specific Performance. Specific performance is a legal remedy where the court orders the party who breached the contract to fulfill their obligations as specified in the contract, rather than simply compensating the other party with money.
For example, if someone contracts to sell a piece of real estate and then refuses to complete the sale, the buyer may seek a court order for specific performance to require the seller to transfer the property as agreed. This remedy is particularly common in real estate transactions because each parcel of land is considered unique, and monetary damages may not adequately compensate a buyer for a seller's failure to convey the land.