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if the distance from u to v equals the distance from u to v, then u and v are orthogonal. true or false

User Flx
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1 vote

Answer:

This statement is FALSE

Explanation:

If the distance from u to v equals the distance from u to v, it does not necessarily mean that u and v are orthogonal.

Distance is a scalar quantity and it measures the length between two points. Orthogonality, on the other hand, is a concept that relates to the angle between two vectors. Two vectors are orthogonal if their dot product is zero, which means that they are perpendicular to each other.

Therefore, it is possible for two vectors to have the same distance from a point without being orthogonal to each other.

User Snyh
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