Find the Area of the Parallelogram That Has the Vectors $\begin{array} { l } \mathbf { u } = \mathbf { i } + 3 \mathbf { j } + 3 \mathbf { k } \\\mathbf { v } = \mathbf { i } + \mathbf { k }\end{array}$

question 241

Multiple Choice

Find the area of the parallelogram that has the vectors as adjacent sides. $\begin{array} { l } \mathbf { u } = \mathbf { i } + 3 \mathbf { j } + 3 \mathbf { k } \\\mathbf { v } = \mathbf { i } + \mathbf { k }\end{array}$

• A) \(\text { Area } = \sqrt { 22 } \text { square units }\)
• B) \(\text { Area } = \sqrt { 13 } \text { square units }\)
• C) \(\text { Area } = \sqrt { 17 } \text { square units }\)
• D) \(\text { Area } = \sqrt { 14 } \text { square units }\)
• E) \(\text { Area } = \sqrt { 23 } \text { square units }\)

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Definitions:

Visual Cortex

A part of the cerebral cortex in the brain responsible for processing visual information.

Visual Fields

The range of vision that can be seen without moving the eyes.

Auditory Tube

Also known as the Eustachian tube, it connects the middle ear to the nasopharynx and helps equalize pressure in the middle ear.

Middle Ear

Air-filled space within the temporal bone; contains auditory ossicles; between the external and internal ear.