science
Grade-11
Easy

Question

Two vectors started from the origin and moved to the east and north direction 10 m, 15 m, respectively, and the angle between the vectors is 30 degrees, then find the resultant of the vectors.

 

  1. 1
  2. 2
  3. 0.5
  4. 0.3

The correct answer is: 0.5


    • If two vectors A and B with magnitude a and b respectively are given and the angle between them is θ Then the magnitude of the Resultant of A and B is R = square root of a squared space plus space b to the power of 2 space end exponent plus space 2 a b space cos theta end root
    • R = square root of 10 to the power of 2 space end exponent plus space 15 to the power of 2 space end exponent plus space 2 x 10 x 15 space cos 30 end root
    • R = square root of 100 space plus space 225 space plus space 300 space x space square root of 3 over 4 end root end root
    • Solving we get R = 24 (approx)

    If two vectors A and B with magnitude a and b respectively are given and the angle between them is θ Then the magnitude of the Resultant of A and B is R = square root of a squared space plus space b to the power of 2 space end exponent plus space 2 a b space cos theta end root

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