Suppose That $\vec { u }$ And $\vec { v }$ Are Non-Zero Vectors, and That

question 77

Multiple Choice

Suppose that $\vec { u }$ and $\vec { v }$ are non-zero vectors, and that $\vec { u }$ is perpendicular to $\vec { v }$ .Let $\vec { w } = \vec { u } \times ( \vec { v } \times \vec { u } )$ .Which of the following statements are true? Select all that apply.

• A) \(\vec { W }\) is perpendicular to \(\vec { u }\) ,
• B) \(\vec { W }\) is perpendicular to \(\vec { v }\) ,
• C) \(\vec { W }\) is parallel to \(\vec { u }\) ,
• D) \(\vec { W }\) is parallel to \(\vec { v }\) ,
• E) \(\vec { W }\) is the zero vector.

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Definitions:

Efferent Nerves

Nerve fibers that carry signals away from the brain and spinal cord to the muscles and glands, facilitating action and response.

Afferent

Referring to the transmission of signals towards a central point, particularly nerves that carry impulses towards the brain or spinal cord.

Pyramidal

Referring to a structure, cell, or organization shaped like a pyramid, often used in describing certain brain cells or hierarchical systems.

Olfactory

Pertains to the sense of smell.