Vector question - North-east direction

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The discussion revolves around calculating the net displacement of a particle undergoing three vector displacements. Participants express confusion over representing these displacements as vectors, particularly the conversion of "North-East" into vector components. Clarification is provided regarding the negative sign in the vector representation, which is attributed to the sign convention in the coordinate system. The conversation also touches on vector products and the direction of resultant vectors, emphasizing the importance of accurately interpreting vector directions and their components. Overall, the discussion highlights the complexities of vector representation and the need for clear understanding of vector operations.
  • #31
gracy said:
So why will their resultant be at 45 degrees?
Because
gracy said:
Direction of (A + B) is given to be northeast
 
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  • #32
gracy said:
Direction of (A + B) is given to be northeast
No, I meant in the solution direction of (A + B) is given to be northeast.
 
  • #33
Vector A is pointing eastwards and vector B northwards then direction of (A × B) × (A × B)
1)North - east
2)vertically upward
3)vertically downward
4)None of the above
I tried to draw it[/QUOTE]
I can't differentiate signs of usual multiplication and vector product here.
 
  • #34
gracy said:
No, I meant in the solution direction of (A + B) is given to be northeast.
Yes, I see your difficulty. Two ways out: interpret the question as asking which could be right; interpret the answer "north - east" as meaning in that general direction, i.e. in the NE quadrant. Neither very satisfactory I agree.
 
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  • #35
gracy said:
(A × B) × (A × B)
What is the angle between the two vector arguments to the central x?
 
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  • #36
haruspex said:
What is the angle between the two vector arguments to the central x?
Zero. Sin 0=0
 
  • #37
gracy said:
Zero. Sin 0=0
So what is (a x b) x (a x b)?
 
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  • #38
haruspex said:
So what is (a x b) x (a x b)?
zero
 
  • #39
gracy said:
zero
Right.
 
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