Posted by **Jat** on Tuesday, February 21, 2012 at 1:00pm.

When Studying Vectors, How Would I Go About Answering This Question?

In Each of the following Cases, find the magnitude and direction of the resultant vectors of the two given vectors:

a) a displacement of magnitude 26km on a bearing of 175 degrees and a displacement of magnitude 18km on a bearing 294 degrees

b) Forces of 355 N on a bearing of 320 degrees and 270 N on a bearing of 025 degrees

help would be MUCH appreciated, if you could also explain how you answer it ?

also if you feel like drawing a diagram on paint or something if you could link it?

THANKS :D

- Mechanics AS (Vectors) -
**Steve**, Tuesday, February 21, 2012 at 1:21pm
in order to add vectors, it's necessary to convert to (x,y) from (r,θ)

For problem (a), we want to add

(26,175°) and (18,294°)

Now, bearings use 0° as North, measured clockwise, so we have to use

x = r*sinθ

y = r*cosθ

(26,175°) -> (2.266,-25.901)

(18,294°) -> (-16.444,7.321)

add 'em up to get

(-14.178,-18.580)

convert back to (r,θ) to get distance and bearing.

now go and do (b) the same way

## Answer this Question

## Related Questions

- physics - Can you help me with this one also? I know how to do it with 3 vectors...
- Physics - 2 vectors have same magnitude.The magnitude of the resultant vector of...
- Physics - Given Vector A with magintude 9.17 feet and Vector B with magnitude of...
- Science - 2 vectors have same magnitude.The magnitude of the resultant vectors ...
- math - given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q ...
- Discrete Math - Vectors - Can you please help me correct my answers for the ...
- math - given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q ...
- Physics - What is the resultant of two displacement vectors having the same ...
- physics-vectors - If the magnitude of the sum of two vectors is greater than the...
- physics - A football player runs the pattern given in the drawing by the three ...