Math Problem Statement
The position vector for an electron is r⃗ = (5.0 m)î − (3.0 m)ĵ + (2.0 m)k̂. (a) Find the magnitude of r⃗. (b) Sketch the vector on a right-handed coordinate system.
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Magnitude
Vector Notation
3D Coordinate Systems
Formulas
Magnitude of a vector |r⃗| = √(x² + y² + z²)
Right-handed coordinate system for 3D vector representation
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 10-12