in VECTOR ANALYSIS
if a cross product and dot product are in one equation, which operation goes first??? like (PEMDAS)
Ex. A.BxC
which operation should i do first???

Question

in VECTOR ANALYSIS
if a cross product and dot product are in one equation, which operation goes first??? like (PEMDAS)
Ex.   A.BxC
which operation should i do first???

ganeshie8 · Answer

you better do cross product first

ganeshie8 · Answer

doing dot product first makes no sense because the dot product yields a scalar and you cant cross it with vector

fibonaccichick666 · Answer

I concur

ganeshie8 · Answer

you can assume below in equations $$A\cdot B\times  C = A\cdot (B\times   C)$$

archtangent · Answer

hmmm makes sense thank you sirs appreciate it :)) thumbs up

ganeshie8 · Answer

yw:)

perl · Answer

actually (A . B) x C  does not make sense
A . (BXC) makes sense

perl · Answer

A.B is a scalar, and you cant cross a vector with a scalar.
but BXC is a vector , so A . (BXC) makes sense.
so you dont need parentheses here

fibonaccichick666 · Answer

yep, it is because of the limitations of a cross product that this phenomenon occurs