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For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated list.) (−4, b, 3), (b, b^2, b)
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Sep 16, 2017
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For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated list.)
(−4, b, 3), (b, b^2, b)
Mathematics
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Nikolay Baranenko
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(-4,b,3) ; (b,b²,b)
Dot product of Orthogonal is equal to zero.
(-4*b) + (b*b²) + (3*b) = 0
-4b + b³ + 3b = 0
b³ - b = 0
b can only have the value of 1 for the given vectors to be orthogonal.
b = 1
1³ - 1 = 0
1 - 1 = 0
0 = 0
Vibhor Bhardwaj
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Sep 23, 2017
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Vibhor Bhardwaj
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