Two force each of 10N acts on a body, one towards the north and the…

Two force each of 10N acts on a body, one towards the north and the other towards the east.
The magnitude and the direction of the resultant force are
  • A.
    20N, 45°E
  • B.
    20N, 45°W
  • C.
    10√2N, 45°W
  • D.
    10√2N, 45°E
Correct Answer: Option D
Explanation

From Pythagoras,
R2 = 102 + 102
= 100 + 100
= 200
therefore R2 = √200 = √2 x 100
= 10√2, in the direction 45°E

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