Math Problem Statement
Find the parametric form of vector equation and cartesian equations x-2/2=y-2/3=z-1/3 and parallel to the line x-1/3=-y+1/2=z+1/1
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Equations
Cartesian Equations
Parametric Equations
Direction Ratios
Formulas
Parametric form of a line: x = x_0 + at, y = y_0 + bt, z = z_0 + ct
Cartesian form of a line: (x - x_0)/a = (y - y_0)/b = (z - z_0)/c
Theorems
Equation of a Line in Space
Parallel Lines and Direction Ratios
Suitable Grade Level
Grades 10-12
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