Posted by sam on .
Find the resulting displacement of a 15km displacement and a 25km displacement when the angle between them is 90 degrees.( Your answer should include magnitude and direction of the displacement.)

physics 
AE,
To find the resultant, separate each of the vectors into x and y components so it should be:
v1: 15x + 0y
v2: 0x + 25 y
add those together and the resultant vector is:
resultant vector: 15x + 25y
to get the magnitude, you do the square root of the xcomp squared plus the ycomp squared so its
15^2+25^2 and then square root that and you should get a magnitude of about 29 km
for the direction of displacement, or the angle, you do tan(angle)=ycomp/xcomp so angle=inversetan(25/15) and you should get about 59 degrees north of east