Provide an Appropriate Response $\mathbf { u }$ And $\mathbf { v }$

question 14

Essay

Provide an appropriate response.
-The unit vectors $\mathbf { u }$ and $\mathbf { v }$ are combined to produce two new vectors $\mathbf { a } = \mathbf { u } + \mathbf { v }$ and $\mathbf { b } = \mathbf { u } - \mathbf { v }$ . Show that $\mathbf { a }$ and $\mathbf { b }$ are orthogonal. Assume $\mathbf { u } \neq \mathbf { v }$ .

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Definitions:

Arthritis

A form of joint disorder that involves inflammation of one or more joints, leading to pain and stiffness.

Streamlined Body

A body shape designed to reduce resistance to motion through fluid (water or air), making it easier for the organism or object to move efficiently.

Friction

The resistance that one surface or object encounters when moving over another, caused by the interactions of the surfaces' microscopic irregularities.

Adaptation

The process by which organisms adjust and change over time in response to environmental changes, enhancing survival and reproductive success.