Math Problem Statement
Find a vector equation and parametric equations for the line. (Use the parameter t.) the line through the point (8, 0, −3) and parallel to the line x = 4 − 4t, y = −1 + 3t, z = 6 + 9t
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Geometry
Parametric Equations
Formulas
Vector equation of a line: r(t) = r₀ + t * d
Parametric equations: x = x₀ + at, y = y₀ + bt, z = z₀ + ct
Theorems
Parallel lines have the same direction vector
Suitable Grade Level
Grades 10-12
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