Asked by Anonymous
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.
(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.
Answers
Answered by
MathMate
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.
For example,
(i)<18,-3>.<-1,-6>=-18+18=0
So pair (i) is orthogonal.
Post your answer for checking if you wish.
Answered by
Steve
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?
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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