Let L Be the Line Given by X = 2

question 98

Essay

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 parametric equations for the line through P which lies in the plane and is perpendicular to L.

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Definitions:

Benin Iconography

The visual symbols and motifs that are characteristic of the art and artifacts of the Benin Kingdom, located in present-day Nigeria, noted for its intricate bronzes and ivory carvings.

Mudfish

A type of freshwater fish known for its ability to live in muddy, low-oxygen environments, sometimes symbolizing adaptability and survival in various cultures.

Diplomatic Relationships

The official relationships between countries, managed through diplomacy, allowing nations to communicate and negotiate.

Nok Style

Pertains to the distinctive terracotta sculptures associated with the ancient Nok culture of Nigeria, dating back to between 500 BC and 200 AD.