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📐 Mathematics  ·  Vector Algebra  ·  JEE

Work done by force F over displacement d is:

Answer: F . d.

  • A F + d
  • B F x d
  • C F . d
  • D |F||d|

Correct answer: C. F . d

Explanation: Work W = F . d = |F||d|cos(theta). Work is a scalar equal to the dot product of force and displacement vectors.

xya (4,1)b (2,3)a + b (6,4)

Triangle law of vector addition: placing vector b at the head of vector a, the diagonal from the start to the final head gives the resultant a + b.

Concept context

Vectors, dot product, cross product, and geometric applications

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