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Which of the following pairs of vectors are orthogonal?

(i) v = 18i − 3j and w = −i − 6j
(ii) v = 15i − 2j and w = −4i + 30j
(iii) v = 3i − j and w = i + 3j
A. (i) and (ii)
B. (i) and (iii)
C. (ii) only
D. (i) only
17.

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2 answers
  1. Calculate the dot product of the three pairs of vectors. If the dot product is zero, the vectors are orthogonal.
    For example,
    (i)<18,-3>.<-1,-6>=-18+18=0
    So pair (i) is orthogonal.

    Post your answer for checking if you wish.

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  2. v•w = 0 if v┴w

    18i−3j • −i−6j = 0
    15i−2j • −4i+30j = -120
    3i−j • i+3j = 0

    Can you take it from here?

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