- #1
supermiedos
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How do these operations with Del operator work??
Let's say A and B are expressed by their cartesian components as:
A = <P, Q, R> and B = <M, N, O>
what would be the differente between (A.∇)B and B(∇.A) ?
I tried to expand the expression (A.∇)B as:
[itex](P\partial_{x} + Q\partial_{y} + R\partial_{z})B[/itex]
Where [itex]\partial_{x}[/itex] is an abbreviation for [itex]\partial/\partial_{x}[/itex] but I don't know how to proceed next. Should I multiply the inside of the parenthesis with every component o B? That looks strange.
Homework Statement
Let's say A and B are expressed by their cartesian components as:
A = <P, Q, R> and B = <M, N, O>
what would be the differente between (A.∇)B and B(∇.A) ?
Homework Equations
The Attempt at a Solution
I tried to expand the expression (A.∇)B as:
[itex](P\partial_{x} + Q\partial_{y} + R\partial_{z})B[/itex]
Where [itex]\partial_{x}[/itex] is an abbreviation for [itex]\partial/\partial_{x}[/itex] but I don't know how to proceed next. Should I multiply the inside of the parenthesis with every component o B? That looks strange.