Scalar Multiplication of Vector Calculator

An online calculator that multiply a vector by a scalar is presented. The calculator gives the components of the vector , its magnitude and direction.

Let \( \vec{u} \) be a vector given in component form by

\[ \vec{u} = \langle u_1 , u_2 \rangle \]

The scalar multiplication of vector \( \vec{u} \) by a scalar \( k \) is defined by

\[ k \vec{u} = \langle k u_1 , k u_2 \rangle \]

Use of the Calculator

Enter the components \( u_1 \), \( u_2 \), and the scalar \( k \). The outputs are the components of \( k\vec{u} \), its magnitude, and its direction (in degrees).

\( u_1 \) = , u2 =
\( k \) =
Decimal Places =
\( k \vec{u} = \) < , >
Magnitude: \( || k \vec{u} || \) =
Direction of \( k \vec{u} \) : \( \theta \) = °

More References and Links

vector calculators
Vector Addition and Scalar Multiplication.