Math Problem Statement

Point A(−4, 2, 5) and the two vectors, RAM = (20, 18, −10)? and RAN = (−10, 8, 15), define a triangle. Find (a) a unit vector perpendicular to the triangle;

(b) a unit vector in the plane of the triangle and perpendicular to RAN; (c) a unit vector in the plane of the triangle that bisects the interior angle at A. do only (a)

Solution

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Math Problem Analysis

Mathematical Concepts

Vectors
Cross Product
Unit Vector
3D Geometry

Formulas

Cross product formula
Magnitude of a vector formula
Unit vector formula

Theorems

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Suitable Grade Level

Advanced High School