Find a Unit Vector Perpendicular to Both $6 \vec { i } - \vec { j } + \vec { k }$

question 120

Multiple Choice

Find a unit vector perpendicular to both $6 \vec { i } - \vec { j } + \vec { k }$ and $\overrightarrow { 8 i } + \vec { k }$ .

• A) \(- \frac { 1 } { \sqrt { 69 } } \vec { i } - \frac { 2 } { \sqrt { 69 } } \vec { j } + \frac { 8 } { \sqrt { 69 } } \vec { k }\)
• B) \(- \frac { 1 } { \sqrt { 69 } } \vec { i } + \frac { 2 } { \sqrt { 69 } } \vec { j } + \frac { 8 } { \sqrt { 69 } } \vec { k }\)
• C) \(- \frac { 1 } { \sqrt { 69 } } \vec { i } + \frac { 2 } { \sqrt { 69 } } \vec { j } - \frac { 8 } { \sqrt { 69 } } \vec { k }\)
• D) \(- \vec { i } + 2 \vec { j } + 8 \vec { k }\)
• E) \(\frac { 1 } { \sqrt { 69 } } \vec { i } + \frac { 2 } { \sqrt { 69 } } \vec { j } + \frac { 8 } { \sqrt { 69 } } \vec { k }\)

---

Definitions:

Type 2 Diabetes Mellitus

Type 2 Diabetes Mellitus is a chronic condition that affects the way the body processes blood sugar (glucose), characterized by insulin resistance or a lack of insulin.

Insulin-Triggering Foods

Foods that cause the pancreas to release insulin, a hormone that helps regulate blood sugar levels.

Insulin Receptors

Proteins on the surface of cells that bind insulin, triggering the cell to absorb glucose from the bloodstream.

Energy Source

Any substance or system that provides power to operate or perform work, typically through chemical, electrical, or mechanical means.