Determine the x and y components of the following three vectors in the xy plane.

Question

1) A 19-m/s velocity vector that makes an angle of 40° counterclockwise from the -x direction.

x:

2) y:

Explain please!

Answer 1

well, the x component is 19costheta, and the y component is 19sintheta.

draw the axis, measure the angle counterclockwise from x.
This is true for any angle, say 104. If the angle had been 104 deg
x=magnitude*cos104
y=magnitude*sin104

Caution: On geographical coordinates, a common convention is to measure angles from N, clockwise, even if the angle is given as xxx deg W of S. Convert that to degrees clockwise from N
N=magnitude*cosTheta
E=magnitude*sinTheta

and it will work regardless of the angle.

Answer 2

1. V = 19m/s[40o]S. of W. = 19[220o]CCW from +x-axis.
X = 19*Cos220 =
Y = 18*sin220 =

Answer 3

Correcti0n: Y = 19*sin220 =