Resultant Vector from Adding Vectors

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Question:

What is the correct choice after adding the following vectors: V1 (-5, 0), V2 (0, -2), V3 (7, 0)

Group of answer choices

(2, -2)

(13, -2)

(-2, 2)

(0, -2)

Answer:

To find the resultant vector after adding the vectors ( V1 ), ( V2 ), and ( V3 ), we can add their components separately.

Given:

  • ( V1 = (-5, 0) )
  • ( V2 = (0, -2) )
  • ( V3 = (7, 0) )

Now, we add the x-components and y-components:

  1. X-components: [ -5 + 0 + 7 = 2 ]

  2. Y-components: [ 0 + (-2) + 0 = -2 ]

Now, combining the results from the x and y components, we get the resultant vector: [ (2, -2) ]

Thus, the correct choice is (2, -2).