The discussion revolves around calculating the area of a parallelogram defined by two vectors, P=(4,-10,3) and Q=(2,1,0). Participants are exploring the relationship between the cross product of these vectors and the area of the parallelogram.
The discussion includes attempts to calculate the cross product and clarify the meaning of the notation used in the area formula. Some participants are questioning the interpretation of the cross product and its relation to the area calculation.
There is a mention of confusion regarding the distinction between the scalar area and the vector result of the cross product. Participants are also addressing potential misunderstandings in the calculation process.
WinstonB said:Homework Statement
"Find the area of a parallelogram defined by the two vectors P=(4,-10,3) and Q=(2,1,0)"
Homework Equations
The area of the parallelogram is equal to the magnitude of the cross product of the two vectors? i.e. Area = |PXQ|
WinstonB said:The Attempt at a Solution
PXQ = (-10x0-3x1)-(4x0-3x2)-(4x1-(-10)x2)=-3-(-6)-(-16)=25
-> area of parallelogram = 25(?)