Let. U=25m North
V=35m at 45° east of north and
W=12m east then
Find U+V+W
To find U+V+W, we need to add the vectors U, V, and W.
U= 25m North can be written as (0,25) in cartesian form.
V= 35m at 45° east of north can be resolved into its x and y components as follows:
x component= 35*cos(45)= 24.75 m east
y component= 35*sin(45)= 24.75 m north
Therefore, V= (24.75, 24.75) in cartesian form.
W= 12m east can be written as (12,0) in cartesian form.
Adding the vectors, we get:
U+V+W= (0+24.75+12, 25+24.75+0)
U+V+W= (36.75, 49.75)
Therefore, the resultant vector U+V+W is (36.75, 49.75).