A scalar product can be negative
What is the position of a negative scalar product?
Hello, it's me again.
Actually just have a relatively simple question.
If I determine the position of two vectors, i.e. the scalar product of two vectors, and the result is a negative solution, what do you call this? Because if the scalar product of two vectors = 0, the vectors are orthogonal, so they are perpendicular to each other and what about a negative solution? For example, my solution resulted in vector v * a = -28. What are the vectors then to each other?
For everyone who wants to help me (automatically generated by OnlineMathe):
"I only need the result, please, and not a long solution."
Online exercises (exercises) at unterricht.de:
you wrote down a nice boomerang question:
"What is the position of a negative scalar product?"
¦v¦ * ¦a¦ *
what information about the angle can you guess?
by the way:
with the dot product you cannot find the "position of two vectors"
determine .. who sold you that?
that will certainly come a little later, but the scalar product and the cosine of the angle between the vectors are closely related. In the case of a negative scalar product, you can surely think of the correct conclusion yourself from your knowledge of the cosine ...
yes I can conclude from my negative scalar product that the vectors are at an obtuse angle to each other and thus intersect, I have calculated the angle and come to 144.74 °, but how is that technically expressed when the scalar product = 0 it is called yes the vectors are at 90 ° So angles orthogonally or perpendicular to each other and what is the technical term for my task?
I'm sorry that I asked so stupidly, but the only thing missing from the task is the term how to call it?
"..that the vectors are at an obtuse angle to each other
and thus intersect .. "
no, you can't conclude, "that the vectors are
thus cut .. "
Vectors are free creatures that can put their arrows anywhere
sit down anywhere for illustration.
if you now have one of your two vectors in the same point in space
lets begin, then you can get the one enclosed by them
. in your example obtuse ..) see angles particularly well.
But even if the vectors (or their representation) each other
not cutting at all is between the directions
there is an obtuse angle .. and then there are no more
Terms; the angle between the vectors or their directions
is an obtuse angle - done.
The same also applies if the scalar product is zero:
then the corresponding vectors have mutually perpendicular
Direction .. even if their representatives do not intersect, for example.
Yes it's ok, I understood, I didn't want anything more!
Didn't want to say that the scalar product tells me the position of the vectors, I expressed something wrong, meant that one can conclude from this that the angle is either 90 °. is that the vectors are orthogonal to each other or it is an acute or obtuse angle ... thought there might be another term for it but thank you very much you have helped me a lot :)
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