Triple scalar product

by Woopydalan
Tags: product, scalar, triple
 P: 704 Hello, 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?
 Mentor P: 13,625 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?
P: 704
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
 triple scalar product.pdf (42.8 KB, 8 views)

 Related Discussions Calculus & Beyond Homework 4 Calculus & Beyond Homework 3 Precalculus Mathematics Homework 2 Calculus & Beyond Homework 0 Calculus & Beyond Homework 4