A particle has initial position vector 2î-3ĵ. It then undergoes displacements 4î+5ĵ and -8î+2ĵ. A third displacement C⃗ brings it to final position vector -î+6ĵ. Find C⃗.
Options

Question

A particle has initial position vector 2î−3ĵ. It then undergoes displacements 4î+5ĵ and −8î+2ĵ. A third displacement C⃗ brings it to final position vector −î+6ĵ. Find C⃗.

G1 Physics · Accepted Answer

After the first two displacements, position=(2î−3ĵ)+(4î+5ĵ)+(−8î+2ĵ)=−2î+4ĵ. Thus C⃗=(−î+6ĵ)−(−2î+4ĵ)=î+2ĵ.