Vector Magnitude Calculator: solve vector magnitude problems step-by-step. Clear formula, worked example, and FAQs included.
Slope: m = (y₂ − y₁) ÷ (x₂ − x₁)
Distance: d = √((x₂−x₁)² + (y₂−y₁)²)
Midpoint: M = ((x₁+x₂)/2, (y₁+y₂)/2)
Pythagorean theorem: c = √(a² + b²)
Trigonometry: sin θ, cos θ, tan θ — ratios of right-triangle sides
Rounding: Round to d decimal places = ⌊n × 10^d + 0.5⌋ ÷ 10^d
Modulo: a mod b = a − b × ⌊a/b⌋
Vector magnitude: |v| = √(x² + y² + z²)
Number base: Convert between binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16)
Each calculator on this page applies the specific formula relevant to its topic — the formula bar shows the exact equation used.