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Vector Operations
Middle School
Definition
Basic operations on vectors: addition, subtraction, scalar multiplication.
Formulas
\vecu + \vecv = \beginpmatrix u₁ + v₁ \\ u₂ + v₂ \endpmatrix
Vector addition (component-wise)
c\vecv = \beginpmatrix cv₁ \\ cv₂ \endpmatrix
Scalar multiplication
\vecu - \vecv = \vecu + (-1)\vecv
Vector subtraction
Examples
Example 1
If u = (1, 2) and v = (3, 4), find u + v.
Example 2
If v = (2, -3), find 3v.
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