Two forces #vecF_1=hati+5hatj and vecF_2=3hati-2hatj# act at points with two position vectors respectively # hati and -3hati +14hatj# How will you find out the position vector of the point at which the forces meet?
The support line for force
The intersection point or
and solving for
#"The 1st force " vecF_1=hati +5hatj# #"The 2nd force " vecF_2=3hati -2hatj# # vecF_1 " acts at point A with position vector " hati# # vecF_2 " acts at point B with position vector "-3 hati+14hatj#
We are to find out the position vector of the point where the two given forces meet.
Let that point where the two given forces meet, be P with
Now multiplying equation (1) by 3 and adding with equation (2) we get
Inserting the value of x in equation (1)