Which of the sets given below may represent the magnitudes of three vectors adding to zero?
Which of the sets given below may represent the magnitudes of three vectors adding to zero?
(a) 2, 4, 8
(b) 4, 8, 16
(c) 1, 2, 1
(d) 0 5, 1, 2.
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(c) 1, 2, 1.
Explanation:
1,2 and 1 may represent the magnitudes of three vectors adding to zero. For example one of the vector of length 1 should make an angle of
135∘ with x axis and the other vector of length 1 makes an angle of
225∘ with x axis. The third vector of length 2 should lie along x axis.
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