Triple scalar product

by Woopydalan
Tags: product, scalar, triple
Woopydalan is offline
Sep15-13, 04:25 PM
P: 746

I am confused how vectors that are coplanar will give a triple product of zero? Or is it the case that all 3 vectors must be coplanar for a triple product of zero, or is 2 sufficient? I.e. the vector being dotted with one of the vectors being crossed in the same plane, will this produce a zero scalar product?
Phys.Org News Partner Mathematics news on
Researchers help Boston Marathon organizers plan for 2014 race
'Math detective' analyzes odds for suspicious lottery wins
Pseudo-mathematics and financial charlatanism
D H is offline
Sep15-13, 04:38 PM
P: 14,459
Take any two of those coplanar vectors. The cross product is either zero or is normal to both of those vectors -- and every other vector that is coplanar with those first two vectors. What's the dot product of two vectors that are normal to one another?
Woopydalan is offline
Sep15-13, 04:51 PM
P: 746
ok, so I see that the textbook specified that if all 3 vectors are coplanar, then its triple scalar product is zero, which makes sense to me because the projection is going to be zero. It's just that the accompanying figure 3.28 doesn't make me think that the vectors are coplanar.
EDIT: here is the figure that I am referring to
Attached Files
File Type: pdf triple scalar product.pdf (42.8 KB, 8 views)

Register to reply

Related Discussions
triple scalar product Calculus & Beyond Homework 4
Triple Scalar Product Calculus & Beyond Homework 3
Scalar triple product Precalculus Mathematics Homework 2
Cross Product and Triple Scalar Product Calculus & Beyond Homework 0
Triple Scalar Product Calculus & Beyond Homework 4