- #1
draotic
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Homework Statement
Given A . B=0 and A x C=0...whats the angle b/w B and C?
What is the angle between B and C if A.B = 0 and A x C = 0?
- Thread starter draotic
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- Cross Dot Dot product Product
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Homework Help Overview
The discussion revolves around determining the angle between vectors B and C, given the conditions that the dot product A · B equals zero and the cross product A x C equals zero. The subject area includes vector mathematics and properties of angles between vectors.
Discussion Character
- Exploratory, Assumption checking
Approaches and Questions Raised
- Participants explore the implications of A x C = 0, questioning the angle between A and C, and subsequently relate it to the angle between B and C. There is a focus on understanding the relationships between the vectors based on the provided conditions.
Discussion Status
The discussion is active, with participants engaging in a back-and-forth exchange about the angles involved. Some guidance is offered regarding the relationships between the vectors, but there is no explicit consensus on the final answer regarding the angle between B and C.
Contextual Notes
Participants are working within the constraints of the problem as stated, without additional information or context about the vectors beyond their relationships defined by the dot and cross products.
Given A . B=0 and A x C=0...whats the angle b/w B and C?
- #2
tiny-tim
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hi draotic! 
think! …
think! …
if A x C=0...whats the angle b/w A and C? 
- #3
draotic
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ok but wat will be the angle b/w B and C?
- #4
tiny-tim
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uh-uh, i asked first! 
…
…whats the angle b/w A and C?
- #5
draotic
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must b 180 or 0tiny-tim said:uh-uh, i asked first!
whats the angle b/w A and C?
- #6
tiny-tim
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draotic said:
in other words, A and C are … ?
- #7
draotic
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collinear!tiny-tim said:in other words, A and C are … ?
- #8
tiny-tim
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yup!
so given A . B=0 ...whats the angle b/w B and C?
so given A . B=0 ...whats the angle b/w B and C?
- #9
draotic
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wats it?tiny-tim said:yup!
so given A . B=0 ...whats the angle b/w B and C?
i can't think sir
- #10
draotic
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tiny-tim said:yup!
so given A . B=0 ...whats the angle b/w B and C?
thank you sir
its 90 ,right?
- #11
HallsofIvy
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You know that A and C are in the same direction (or opposite) so the angle between B and C is the same as the angle between B and A. And you are given that A.B= 0. What does that tell you about the angle between A and B?
- #12
tiny-tim
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draotic said:thank you sir
its 90 ,right?
yes of course!
let's write that out in full, since you don't seem clear on the subject …
A.B = 0, so A is perpendicular to B
but A x C = 0, so A is parallel to C
let's write that out in full, since you don't seem clear on the subject …
A.B = 0, so A is perpendicular to B
but A x C = 0, so A is parallel to C
so C is perpendicular to B
oh, and don't call me sir …
i'm only a little goldfish! 