Dot Product confusion (no calculations involved)

[LearninDaMath]

If I take the Dot Product of two vectors, say A and B, I get: AxBx + AyBy + AzBz

And then when I add those terms, I get the magnitude, right?

So when one of those terms are negative, that means I could end up with a negative magnitude?

I thought magnitude had to be positive.

 

[I like Serena]

You get the squared magnitude of a vector if you take the dot product of that vector with itself.
This is always positive (for a non-zero vector).

A dot product between 2 different vectors can be negative.
This indicates that the angle between the vectors is greater than 90 degrees.

 

[LearninDaMath]

You get the squared magnitude of a vector if you take the dot product of that vector with itself.
This is always positive (for a non-zero vector).

A dot product between 2 different vectors can be negative.
This indicates that the angle between the vectors is greater than 90 degrees.

Thanks I like Serena, this cleared up the confusion.

 

[I like Serena]

Cheers!