Recently going through one of the questions , it's said that |a×b.c|=|a||b||c| but the thing here is I'm confused regarding the product, which one should i do? ● I thought of doing |(a×b).c| but then shouldn't they are supposed to put brackets in question there ? ● and i thought doing (b.c) first but then i realised its give just magnitude and we can't cross it with a then . Is I'm thinking correct?
2026-04-29 17:18:43.1777483123
Confused regarding cross product of vectors
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1
You've figured out correctly that the brackets are unnecessary since RHS is a scalar, so that (under usual interpretation), the product $a×(b\cdot c)$ is not defined, since then you'd be dotting a vector and a scalar.
So, in fact, you have that $a×b\cdot c$ should be taken to mean $(a×b)\cdot c,$ unless otherwise excepted.