Consider the Plane $3 x - 5 y + z = 5$

question 15

Short Answer

Consider the plane $3 x - 5 y + z = 5$ .Find the value of a that makes the vector $12 \vec { i } - 20 \vec { j } + \alpha \vec { k }$ perpendicular to the plane.

---

Definitions:

Dietary Evaluation

The process of assessing an individual's food intake and eating habits to determine nutritional adequacy.

Total Energy Expenditure

The total amount of energy used by the body in a day, accounting for all physical activities and metabolic processes.

Data Analysis

The process of examining, cleaning, transforming, and modeling data with the goal of discovering useful information, informing conclusions, and supporting decision-making.

24-hour Recall

A dietary assessment method where individuals report all the foods and beverages they consumed in the previous 24 hours.