Use the Given Vectors to Find the Indicated Expression Find $\mathbf { u } \cdot ( \mathbf { v } \times \mathbf { w } )$

question 136

Multiple Choice

Use the given vectors to find the indicated expression.
- $$\mathbf { v } = 2 \mathbf { i } + 2 \mathbf { j } + 2 \mathbf { k } , \quad \mathbf { w } = - 4 \mathbf { i } - 3 \mathbf { j } + 4 \mathbf { k } , \quad \mathbf { u } = 5 \mathbf { i } + 2 \mathbf { j } + 5 \mathbf { k }$$
Find $\mathbf { u } \cdot ( \mathbf { v } \times \mathbf { w } )$ .

• A) 48
• B) 24
• C) 58
• D) \(- 24\)

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Definitions:

Chlorophyll

A green pigment found in the chloroplasts of plants, algae, and some bacteria, essential for photosynthesis as it captures light energy.

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Non-protein chemical compounds that bind to an enzyme and are essential for the enzyme's activity as a catalyst.

Micronutrient

Essential vitamins and minerals that an organism needs in small quantities for proper functioning of its metabolism.

Nitrogen Metabolism Enzymes

Enzymes that play a role in breaking down and synthesizing nitrogen-containing compounds, critical for amino acid and nucleotide metabolism.