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)

Question

Isabella Oneal

Mathematics

24 July, 14:50

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)

+4

Answers (1)

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Bambi · Answer 1

(-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

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)

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)