Triple Vector Product
Triple Vector Product
The triple vector product , which can also be written in the form , is one way of multiplying the three vectors , , . The result is a vector lying in the same plane as and . Here the vector triple product is shown in red, and the vector is also shown in magenta. The blue plane is the plane determined by and , to which the magenta vector is perpendicular. You can choose to see the unit vector in the direction of with "direction only".
a×(b×c)
(a·c)b-(a·b)c
a=(,,)
a
1
a
2
a
3
b=(,,)
b
1
b
2
b
3
c=(,,)
c
1
c
2
c
3
b
c
b×c
b
c
a×(b×c)