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18 August, 17:20

Two vectors, of magnitudes 20 mm and 50 mm, are added together. Which one of the following is a possible value for the magnitude of the resultant? a. 10 mm

b. 20 mm

c. 40 mm

d. 80 mm

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Answers (1)
  1. 18 August, 17:24
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    Option C is the correct answer.

    Explanation:

    The magnitudes of two vectors are 20 mm and 50 mm.

    Maximum magnitude will be getting when they are acting in the same direction,

    Maximum magnitude = 20 + 50 = 70 mm

    Minimum magnitude will be getting when they are acting in the opposite direction,

    Minimum magnitude = 50 - 20 = 30 mm

    So the resultant of these two vectors lies in between 70 mm and 30 mm.

    Only option C 40 mm satisfies this.

    Option C is the correct answer.
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