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:

Consciousness

The awareness of oneself, one's thoughts, feelings, and environment, encompassing wakefulness and the sense of self.

Brain Regions

Distinct areas within the brain responsible for different functions such as perception, movement, and cognitive processes.

Automatic Process

Cognitive processes that occur with little to no conscious thought or effort, often developed through repetition and practice.

Controlled Process

A type of cognitive processing that requires conscious, intentional, and effortful attention and thought.