Find the Length and Direction (When Defined) of U × $\sqrt { 215 } ; \frac { 1 } { \sqrt { 215 } } ( - 3 \mathbf { i } - 5 \mathbf { j } + 3 \mathbf { k } )$

question 218

Multiple Choice

Find the length and direction (when defined) of u × v.
-u = 3i + 5j - 3k, v = -6i - 10j + 6k

• A) \(\sqrt { 215 } ; \frac { 1 } { \sqrt { 215 } } ( - 3 \mathbf { i } - 5 \mathbf { j } + 3 \mathbf { k } )\)
• B) \(\sqrt { 129 } ; \frac { 1 } { \sqrt { 129 } } ( - 3 \mathbf { i } - 5 \mathbf { j } + 3 \mathbf { k } )\)
• C) \(0 ; - 3 \mathbf { i } - 5 \mathbf { j } + 3 \mathbf { k }\)
• D) 0 ; no direction

---

Definitions:

Actin Fibers

Filamentous proteins that are part of the cytoskeleton in eukaryotic cells, playing a role in cell movement, shape, and division.

Collagen Fibers

Strong, flexible protein fibers found in connective tissue, providing support and structure to skin, bones, and ligaments.

Major Function

The primary role or activity that an organism, system, or component is designed or has evolved to perform.

Abrasion

A wound caused by superficial damage to the skin or a mucous membrane, typically involving a scrape or wear away due to friction.