How would I find the resultant of these two vectors?

Question

Vector E has a magnitude of 38 cm and is directed toward the South. Vector F has a magnitude of 25 cm and is directed toward the West. Find the resultant by adding these two vectors. 
Do I use the pythagorean theorem?

R T · Accepted Answer

Yes, Pythagoras will help here.  The two vectors create a square graphically.  The resultant is the diagonal of the square (which is also the hypotenuse of the triangles formed).

So the square is 38 cm on the y axis and 25 cm on the x axis.

F^2 + E^2 = R^2
25^2 + 38^2 = R^2
625 + 1444 = R^2
2069 = R^2
45.49 = R  pointing southwesterly

BTW, technically it's the  Pythagorean theorem (with a capital P) because it's a person's name.

greenwich · Answer

properly, i've got faith you're perfect. they're the comparable. the internet stress on an merchandise is the vector sum of the comprehensive forces appearing on it. yet that's what's likewise stated with the aid of fact the consequent stress. in case you have a query that's inquiring for internet or resultant stress, the numerical answer you supply must be the equivalent in each and each situations, so i'm now no longer clean what your disaster has been. Do you have an occasion of one of those question so which you could submit for us to look?

Trending News

How would I find the resultant of these two vectors?

2 Answers