A body moves from point P(3,4) to Q (5,7). Its displacement vector would be:

Correct answer: D. 2i+3j

  • A. 8i+10j
  • B. 8i+2j
  • C. 2i-2j
  • D. 2i+3j

Explanation

Option D is correct.The displacement vector is the difference between the initial and final positions of the body. In this case, The initial position is P(3,4) and The final position is Q(5,7). The displacement vector can be calculated using the following formula: displacement = (final position - initial position) Placing the values in the formula, we get: displacement = (5i,7j) - (3i,4j) = (2i,3j) Therefore, the displacement vector is (2,3). This means that the body has moved 2 units to the right and 3 units up.

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