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Grade: 12
        In a Pentagon PQRS prove that vectorbPT+QR+SR+TS+PR=3PR
2 years ago

Answers : (1)

Arun
23368 Points
							
LHS = PQ→ + PT→ + QR→ + SR→ + TS→ + PR→
= PQ→ + QR→ + PT→ + TS→ + SR→ + PR→
= PR→ +PS→ + SR→ + PR→ [∵ PQ→ + QR→ = PR→ and PT→ + TS→ = PS→]
= PR→ + PS→ + PR→ – PS→ + PR→ [∵ PS→ + SR→= PR→ ⇒ SR→ = PR→ – PS→ ]
= 3 PR→= RHS
Hence proved.
2 years ago
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