Final answer:
The court remedy compelling a vendor to execute a deed in line with a valid contract is known as specific performance. It is employed when financial compensation cannot adequately resolve a contract breach and enforces the fulfillment of contractual duties.
Step-by-step explanation:
A remedy in court that compels a vendor to execute a deed in pursuance of a valid written contract is known as specific performance. This legal remedy is used when monetary damages are insufficient to remedy the breach of contract.
Specific performance is an order by the court that mandates the party who breached the contract to perform their contractual obligations as promised. Contractual rights are based on property rights, thus allowing individuals to enter into agreements with others regarding the use of their property, and provide recourse through the legal system in the unfortunate event of a breach.