A particle moves such that its position vector r→t=cosωt  i^+sinωt  j^  where  ω is a constant and t is time. Then which of the following statements is true for the velocity ν→t  and a→tacceleration   of the particle :

r→=cosωti∧+sinωtj∧​⇒v→=dr→dt=ω−sinωti∧+cosωtj∧​⇒a→=dv→dt=ω2−cosωti∧−sinωtj∧⇒a→=−ω2cosωti∧+sinωtj∧​⇒a→=−ω2r→​∴a→ is anti parallel to r→r→ is radially outward​So, a→ is radially inward​​Also., v→.r→=ω−sinωtcosωt+cosωtsinωt=0So v→ ⊥r→