Linear Algebra

Scalar × Vector

Scale a vector by a constant.

Formula

Formula
w = k·v

Variables

SymbolDefinitionType & rangeUnitsRole
k scalar real number (ℝ) input
v vector list of real numbers input

Try it yourself

Interactive calculator
comma or space separated numbers
Result

Worked examples

Example 1
Givenscalar k = 3, v = 1, -2, 4
Result[ 3, -6, 12 ]
Example 2
Givenscalar k = 0.5, v = 10, 20
Result[ 5, 10 ]