Math Problem Statement
Find perpendicular for line (2,7,-3)t+(2,1,5) that passes through (5,2,8)
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Algebra
Parametric Equations
Dot Product
Perpendicularity
Formulas
Parametric form of a line: (x, y, z) = (x_0, y_0, z_0) + t(a, b, c)
Dot product: v1 • v2 = a1*a2 + b1*b2 + c1*c2
Condition for perpendicularity: v1 • v2 = 0
Theorems
Dot Product Theorem for Perpendicular Vectors
Suitable Grade Level
Grades 10-12
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