Is it assumed that dot product of 0 means perpendicular? (2 Viewers)

robkay · 2024-10-05T19:34:16+1000

If I prove the dot product of two vectors is zero, is it then assumed that the vectors are perpendicular or is an extra line of work required to prove why it means theyre perpendicular?

Nav123 · 2024-10-05T19:40:32+1000

robkay said:
If I prove the dot product of two vectors is zero, is it then assumed that the vectors are perpendicular or is an extra line of work required to prove why it means theyre perpendicular?

Yes its enough, if you really want to you can add a line saying:

$\cos\left(\frac{\pi}{2}\right)=0$

but this is not neccesary.

Is it assumed that dot product of 0 means perpendicular? (2 Viewers)

robkay

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Nav123

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