Find a Unit Vector Orthogonal to the Plane Through the Points

question 268

Multiple Choice

Find a unit vector orthogonal to the plane through the points (1, 0, 0) , (0, 1, 0) , and (0, 2, 2) .

• A) \(\left( \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } \right)\)
• B) \(\left( - \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } , \frac { 1 } { \sqrt { 3 } } \right)\)
• C) \(\left( \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } , 0 \right)\)
• D) \(\left( - \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } , 0 \right)\)
• E) \(\left\langle \frac { 2 } { 3 } , \frac { 2 } { 3 } , \frac { 1 } { 3 } \right\}\)
• F) \(\left( - \frac { 2 } { 3 } , \frac { 2 } { 3 } , \frac { 1 } { 3 } \right)\)
• G) \(\left( \frac { 2 } { 3 } , - \frac { 2 } { 3 } , \frac { 1 } { 3 } \right)\)
• H) \(\left( \frac { 2 } { 3 } , \frac { 2 } { 3 } , - \frac { 1 } { 3 } \right)\)

---

Definitions:

Titin

A giant protein that functions as a molecular spring, contributing to the passive elasticity of muscle.

Muscle Fiber

An individual muscle cell, essential for producing force and movement through contraction.

Muscle Cell

A cell specialized for contraction, facilitating movement and support in the body, also known as a myocyte.

Sarcomere

The basic unit of a muscle's cross-striated myofibril and the site of muscle contraction.