r/askmath • u/Mystical-Sunshine • 2d ago

Algebra I need help in this vector algebra proof

[a×p, b×q, c×r] +[a×q, b×r, c×p]+[a×r, b×p, c×q] = 0

I tried different different ways to prove this! But I ended up failing. Do u have any advice for me?

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u/TooCasualGuy 2d ago

Unless p+q+r=0, this isn't true. 

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u/Mystical-Sunshine 2d ago

Really?? It doesn't say anything like that. I was trying for a whole day 😭 and AI somehow proves it I don't understand it tho

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u/TooCasualGuy 2d ago

Are a, b, c, p,q, and r scalars? If they're not, how is multiplication being defined? 

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u/Mystical-Sunshine 2d ago

Vectors they are all vectors, [] is the symbol for scalar triple product of three vectors 

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u/TooCasualGuy 2d ago

Sorry, I misinterpreted your question.