Math Problem Statement

Evaluate a + 2b where a = <2, -4> and b = <-1, 2>

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Addition
Scalar Multiplication

Formulas

Vector addition formula: <x1, y1> + <x2, y2> = <x1 + x2, y1 + y2>
Scalar multiplication: k * <x, y> = <k*x, k*y>

Theorems

Basic properties of vectors

Suitable Grade Level

Grades 9-12