Calculate the Given Quantities If $\mathbf { a } = \mathbf { i } - 9 \mathbf { j } \text { and } \mathbf { b } = - 9 \mathbf { j } + 4 \mathbf { k }$

question 48

Short Answer

Calculate the given quantities if $\mathbf { a } = \mathbf { i } - 9 \mathbf { j } \text { and } \mathbf { b } = - 9 \mathbf { j } + 4 \mathbf { k }$ I. $\quad \mathbf { a } \cdot \mathbf { b }$
II $\mathbf { a } \times \mathbf { b }$
III. The angle between $\mathbf { a }$ and $\mathbf { b }$ (correct to the nearest degree)

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Definitions:

Autonomic Nervous System

A part of the nervous system responsible for controlling involuntary body functions, such as heart rate, digestion, and respiratory rate.

Autonomic Nervous System

The part of the nervous system responsible for control of bodily functions not consciously directed, such as breathing, the heartbeat, and digestive processes.

Target Tissues

Specific tissues or organs that are affected by hormones, drugs, or other active substances due to the presence of specific receptors.

Somatic Motor Nervous System

A part of the peripheral nervous system that carries motor commands from the central nervous system to the skeletal muscles.