Math Problem Statement
Which points in space do the following curves have in common? Do they go through those points at the same time?
vector r(subscript 1) = (t^2, 7t-12, t^2) vector r(subscript 2) = (4t-3, t^2, 5t-6)
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Functions
System of Equations
Quadratic Equations
Formulas
t^2 = 4t - 3
7t - 12 = t^2
t^2 = 5t - 6
Quadratic Formula: t = (-b ± √(b^2 - 4ac)) / 2a
Theorems
Quadratic Formula Theorem
Suitable Grade Level
Grades 10-12
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