This free online calculator help you to find scalar triple product of vectors.

Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to find scalar triple product of vectors.

Calculator

Guide

Some theory

Scalar triple product calculator

Form of first vector representation:
Form of second vector representation:
Form of third vector representation:

Input vectors:

First vector

= {,

,

}

Second vector

= {,

,

}

Third vector

= {,

,

}

a · (b × c)

Guide - Scalar triple product calculator

To find scalar triple product of vectors:

Select the vectors form of representation;

Type the coordinates of the vectors;

Press the button "=" and you will have a detailed step-by-step solution.

Entering data into the scalar triple product calculator

You can input only integer numbers or fractions in this online calculator. More in-depth information read at these rules.

Additional features of the scalar triple product calculator

You can navigate between the input fields by pressing the keys "left" and "right" on the keyboard.

Theory. Scalar triple product of vectors

Definition

The scalar triple product (also called the mixed product or box product or compound product) of three vectors a, b, c is a scalar (abc) which numerically equals the cross product [a × b] multiplied by vector c as the dot product.

Scalar triple product of vectors a = {a_{x} ; a_{y} ; a_{z}}, b = {b_{x} ; b_{y} ; b_{z}} and с = {с_{x} ; с_{y} ; с_{z}}in Cartesian coordinate system is a scalar defined by: