The discussion focuses on resolving vector displacements for a particle undergoing three movements: S1 = √2 m North-East, S2 = 2 m South, and S3 = 4 m at 30 degrees North of West. Participants clarify the vector representation of these displacements, emphasizing the importance of sign conventions in vector components. The negative sign in the x-component of S3 is explained as a result of the second quadrant's coordinate system. Additionally, the discussion touches on vector products and their directional implications.
PREREQUISITESStudents and educators in physics, particularly those focusing on vector analysis and displacement problems, as well as anyone looking to strengthen their understanding of vector operations and coordinate systems.
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