Why do mathematicians use i, j, and k to represent unit vectors in ...
Jun 4, 2009 · The cross product is a vector perpendicular to both the crossed vectors and its length is the area of the parallelogram you get, the deal is that either up or down works for this …
linear algebra - Is |AxB| = |A||B|sin(v) a theorem or a definition ...
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
Power sets and Cartesian products. - Physics Forums
Feb 14, 2014 · The easiest way to state that without all of the work I just did seems to be that P(AxB) creates sets of sets, whearas P(A)xP(B) creates pairs of sets or something along …
Applying Vector Cross Product Properties for (AxB).(CxD) Calculation
May 4, 2010 · Homework Statement I am following along in a book and in one line the author asserts that [tex](\mathbf{A}\times\mathbf{B})\cdot(\mathbf{C}\times\mathbf{D ...
Is A x B equal to B x A if and only if A equals B? - Physics Forums
Apr 17, 2007 · To prove two sets are equal, you want to prove every element of one is an element of the other. Start with your assumption AxB=BxA. Pick any x in A and any y in B. Then (x,y) is …
what the measure of angle axb? - Answers
Jun 29, 2023 · Angle CYD and Angle AXB are supplementary. What is the measure of Angle AXB? _____ degrees
Why AxB is not equal to BxA? - Answers
Apr 28, 2022 · It is so too equal! Multiplication is commutative. Unless A and B are matrices. Matrix multiplication is NOT commutative. Whether or not AxB = BxA depends upon the …
linear operator $f(X) = AXB$ - Mathematics Stack Exchange
Jan 11, 2018 · The key observation is that you can transform your expressions by using Kronecker product (sometimes called tensor product) in the following way:
Can AxB be equal to the empty set if either A or B is empty?
Dec 7, 2008 · Homework Statement I just need to decide how to show this by contradiction. If either A or B is the empty set then AxB=\\oslash. Homework Equations The Attempt at a …
Cardinality with Cartesian Cross Product problem
Nov 11, 2014 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …