Posted by Anonymous on .
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
Calculate the dot product of the three pairs of vectors. If the dot product is zero, the vectors are orthogonal.
So pair (i) is orthogonal.
Post your answer for checking if you wish.
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?