Rani applies a force F = 2î + 3ĵ on a trolley, which moves along the line r = î + ĵ. The component of the force driving the trolley forward (projection) is:

Rani applies a force F = 2î + 3ĵ on a trolley, which moves along the line r = î + ĵ. The component of the force driving the trolley forward (projection) is:

• A. 5/√2
• B. 5
• C. 5/2
• D. √5/2

Answer: A) 5/√2

Explanation: Projection of F on r = (F.r) / |r| = (2(1) + 3(1)) / √(1²+1²) = 5 / √2.