Finding the Resultant of Vectors C & D

[NanoTech]

i was given a graph and was told the find the X and Y components of the 2 vectors (C and D) and their Resultant R. i found the x,y components easily. now do i use the pythagorean theorem to find the resultant of C and D. and is that the answer? thanks ~Dave
(i have a graph, but it was too big to attach)

 

[himanshu121]

suppose u have The net X & Y component R_x & R_y

Then u have
R= R_x i + R_yj
where i & j are unit vectors along x and y axis

So the net resultant would have magnitude given by Pythagoras TH i.e

R² = R_x² + R_y²

and direction tan(\theta)=R_y/R_x

Pls Note While calculating the angle

 

[nautica]

yes,

and don't forget

x=r cos(angle)
y=r sin(angle)

Nautica