Question

Add each of the following vectors and find the total resultant.

a. 15 m East and 25 m North.
b. 220 m North and 80 m West.
c. 2.2 m South and 1.8 m North.
d. 150 m East and 180 m South.
e. 45 m South, 30 m East, and 15 m North.

Answer 1

Use pythagorean theorem and inverse tangent.
a) magnitude - 29.15; angle - 59 degrees
b) magnitude - 234.09; angle - 110 degrees
c) magnitude - 0.4; angle - south
d) magnitude - 234.3; angle - 309.81 degrees
e) magnitude - 42.43; angle - 315 degrees