Posted by **Anonymous** on Wednesday, August 1, 2012 at 4:32pm.

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.

- Trigonometry -
**MathMate**, Wednesday, August 1, 2012 at 4:35pm
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.

- Trigonometry -
**Steve**, Wednesday, August 1, 2012 at 4:39pm
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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