Let L Be the Line Given by X = 2

question 70

Short Answer

Let L be the line given by x = 2 - t, y = 1 + t, and z = 1 + 2t. L intersects the plane 2x + y - z = 1 at the point P = (1, 2, 3). Find the angle L makes with the plane, to the nearest degree.

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Definitions:

Gestalt Psychologist

A psychologist specializing in the study of perception and learning, emphasizing the idea that the whole is more than the sum of its parts.

Structuralist

An approach in various academic disciplines that analyzes elements of human culture, psychology, or society in terms of their relationship to a larger, overarching system or structure.

Psychoanalyst

A therapist trained in Freudian methods who seeks to analyze and treat mental disorders through exploring the unconscious mind.

Environmental Factors

External elements, including physical, chemical, and biological agents, that can affect health or the functioning of organisms and ecosystems.