In the figure to the right, it looks as if v1+v2 and v1−v2 are orthogonal. Under what circumstances would we expect the sum of two vectors to be orthogonal to their difference? Choose the correct answer below. They will be orthogonal if v1 and v2 do not have the same direction. They will be orthogonal if v1 and v2 are orthogonal. They will be orthogonal if v1 and v2 have the same magnitude. They will be orthogonal if either v1 or v2 is a unit vector.

In the figure to the right, it looks as if v1+v2 and v1−v2 are orthogonal. Under what circumstances would we expect the sum of two vectors to be orthogonal to their difference? Choose the correct answer below. They will be orthogonal if v1 and v2 do not have the same direction. They will be orthogonal if v1 and v2 are orthogonal. They will be orthogonal if v1 and v2 have the same magnitude. They will be orthogonal if either v1 or v2 is a unit vector.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.2: Addition On A Number Line

Problem 27WE

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Question

In the figure to the right, it looks as if v1+v2 and v1−v2 are orthogonal. Under what circumstances would we expect the sum of two vectors to be orthogonal to their difference?

Choose the correct answer below.

They will be orthogonal if v1 and v2 do not have the same direction.

They will be orthogonal if v1 and v2 are orthogonal.

They will be orthogonal if v1 and v2 have the same magnitude.

They will be orthogonal if either v1 or v2 is a unit vector.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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