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:

Polycythemia

A blood disorder characterized by an increased number of red blood cells, leading to increased blood viscosity.

Anemia

A condition marked by a deficiency of red blood cells or hemoglobin in the blood, resulting in pallor and weariness.

Blood Clotting

The process by which blood changes from a liquid to a gel, forming a clot, which is crucial in preventing excessive bleeding when vessels are injured.

Thrombocyte

Another term for a platelet, a cell fragment in the blood that is important for blood clotting and wound repair.