Two vectors have magnitudes 8 and 6. Their resultant has magnitude 10. Find the magnitude of their difference.
Physics · Mathematical tools and vector · Vector
NEET JEE Mains

Question

Two vectors have magnitudes 8 and 6. Their resultant has magnitude 10. Find the magnitude of their difference.

G1 Physics · Accepted Answer

|A+B|²+|A−B|²=2(A²+B²)=2(64+36)=200. Thus 100+D²=200, so D=10.