A particle starts at A(2,−1). It undergoes displacements 4î+3ĵ, −2î+5ĵ, and a third displacement of magnitude 10 along the unit vector (3/5)î−(4/5)ĵ. Find its final position vector.
Physics · Mathematical tools and vector · Vector
NEET JEE Mains

Question

A particle starts at A(2,−1). It undergoes displacements 4î+3ĵ, −2î+5ĵ, and a third displacement of magnitude 10 along the unit vector (3/5)î−(4/5)ĵ. Find its final position vector.

G1 Physics · Accepted Answer

Third displacement=6î−8ĵ. Final position=(2î−ĵ)+(4î+3ĵ)+(−2î+5ĵ)+(6î−8ĵ)=10î−ĵ.