The discussion revolves around vector representation and operations involving displacements in a two-dimensional plane. The original poster presents a problem involving three successive displacements, including directions such as North-East, South, and North of West, and seeks clarification on how to express these displacements as vectors. Participants engage in exploring the conventions of vector representation and the implications of directionality in vector addition and subtraction.
The discussion is active, with participants providing guidance on vector representation and questioning assumptions about directionality. There is no explicit consensus on certain aspects, such as the correctness of given solutions or interpretations of vector directions, indicating a productive exploration of the topic.
Participants note potential discrepancies in provided solutions and emphasize the importance of understanding vector direction and sign conventions. There are references to external resources for further clarification on vector concepts.
Becausegracy said:So why will their resultant be at 45 degrees?
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.gracy said: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.gracy said:No, I meant in the solution direction of (A + B) is given to be northeast.
What is the angle between the two vector arguments to the central x?gracy said:(A × B) × (A × B)
Zero. Sin 0=0haruspex said:What is the angle between the two vector arguments to the central x?
So what is (a x b) x (a x b)?gracy said:Zero. Sin 0=0
zeroharuspex said:So what is (a x b) x (a x b)?
Right.gracy said:zero