Which case are you asking about? There are two different diagrams containing vectors a and b.In this case …
I don't understand this English.… vector a and b in the triangle above can make an angle? …
In the first diagram, can a and b vectors make an angle because two vectors make an angle when either their head to head or tail to tail attached, which you can see in the second diagram where the tail of the vector a and the tail of the vector b attached together?Which case are you asking about? There are two different diagrams containing vectors a and b.
I don't understand this English.
It's obvious that vectors a and b make angles. You must be trying to ask something else. Please restate your question.
Two of the angles in the triangle are labeled. If you're trying to find the measure of the third angle, that's easy. :cool:
60° + 60° + X° = 180°
Solve for X.
In the first diagram, can a and b vectors make an angle because two vectors make an angle when either their head to head or tail to tail attached, which you can see in the second diagram where the tail of the vector a and the tail of the vector b attached together?
No, could you explain, please?The real issue is not whether they "make" an angle, but how that angle is related to the vectors. Depending on how the vectors are related and where the angle you are asking about is located, it will be found in different ways. As MarkFL said, for the angle you are asking about, you have to take the supplement. Can you see why?
No, could you explain, please?
θ = 60° but still I have a question. How did you get 180° by joining two a-vectors by their head to tail? as we know head to head or tail to tail of vectors make an angleLet's superimpose the two diagrams:
View attachment 9927
Do you see now that \(\displaystyle \theta\) (the angle in question) and \(\displaystyle 120^{\circ}\) are supplementary, that is:
\(\displaystyle \theta+120^{\circ}=180^{\circ}\)
Now, solve for \(\displaystyle \theta\)...what do you get?
… How did you get 180° by joining two a-vectors …