Finding Angle θ in Parallelogram ABCD

AI Thread Summary
To find angle BPC in parallelogram ABCD using vectors, the internal bisectors of angles B and C intersect at point P. The discussion highlights the need to define vector variables for sides CD and CB to facilitate calculations. Participants suggest using the dot product of vectors PB and PC, but the magnitudes of these vectors are currently unknown. There is a focus on determining the direction vectors for the angle bisectors of angles BCD and ABC. The conversation centers on establishing a clear method to calculate the desired angle using vector properties.
utkarshakash
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Homework Statement


In the parallelogram ABCD the internal bisectors of the consecutive angles B and C intersect at P. Use vector method to find angle BPC.

Homework Equations



The Attempt at a Solution


I assume angle BPC to be θ and the point of intersection of internal bisectors to be P. But what is the next operation which I should use? I tried taking dot product of PB and PC but I don't yet know the magnitudes of both vectors.
 
Physics news on Phys.org
Invent some vector variables to represent, say, CD and CB. What vector represents the direction of the bisector of BCD? How about that of ABC?
 

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