Online calculator. Cross product of two vectors (vector product)

Guide - Cross product calculator

To find the cross product of two 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 cross 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 cross product calculator

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

Cross product (vector product) of two vectors a = {a_x ; a_y ; a_z} and b = {b_x ; b_y ; b_z} in Cartesian coordinate system is a vector defined by:

a × b =	i	j	k	= i (aybz - azby) - j (axbz - azbx) + k (axby - aybx)
	ax	ay	az
	bx	by	bz

or

a × b = {a_yb_z - a_zb_y ; a_zb_x - a_xb_z ; a_xb_y - a_yb_x}.

The cross product of two vectors a and b is a vector c, length (magnitude) of which numerically equals the area of the parallelogram based on vectors a and b as sides.

The vector product of a and b is always perpendicular to both a and b.