Math Problem Statement
Use vectors to decide whether the triangle with vertices P(1,-3,-2), Q(2,0,-4) and R(6,-2,-5) is right-angled
Solution
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Math Problem Analysis
Mathematical Concepts
Vectors
Dot Product
Perpendicular Vectors
Geometry
Formulas
Vector formula: \overrightarrow{PQ} = Q - P
Dot product formula: \overrightarrow{A} \cdot \overrightarrow{B} = A_x B_x + A_y B_y + A_z B_z
Theorems
Theorem: Two vectors are perpendicular if and only if their dot product is zero.
Suitable Grade Level
Grades 9-12
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