# Mechanics AS (Vectors)

posted by .

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) -

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

## Similar Questions

1. ### Physics

What is the resultant of two displacement vectors having the same direction?

3. ### physics

Can you help me with this one also? I know how to do it with 3 vectors but I can't seem to draw it with 4 vectors. The magnitudes of the four displacement vectors shown in the drawing are A=16.0 m, B=11.0 m, C=12.0 m, and D=26.0 m.
4. ### physical science

The resultant vector of two particular displacement vectors dose not equal the sum of the magnitudes of the individual vectors. Describe the directions of the two vectors.
5. ### Physics

A football player runs the pattern given in the drawing by the three displacement vectors , , and . The magnitudes of these vectors are A = 6.00 m, B = 13.0 m, and C = 15.0 m. Using the component method, find the (a) magnitude and …
6. ### Physics

A football player runs the pattern given in the drawing by the three displacement vectors A ,B ,C and . The magnitudes of these vectors are A = 4.00 m, B = 17.0 m, and C = 19.0 m. Using the component method, find the (a) magnitude …
7. ### physics

A football player runs the pattern given in the drawing by the three displacement vectors A, B, and C. The magnitudes of these vectors are A = 5.0 m, B= 15 m, and C = 18 m. Using the component method, find the magnitude and direction …
8. ### physics

A football player runs the pattern given in the drawing by the three displacement vectors , , and . The magnitudes of these vectors are A = 4.00 m, B = 15.0 m, and C = 18.0 m. Using the component method, find the (a) magnitude and …
9. ### Physics

A football player runs the pattern given in the drawing by the three displacement vectors A, B, and C. The magnitudes of these vectors are A = 5.0 m, B= 15 m, and C = 18 m. Using the component method, find the magnitude and direction …
10. ### Physics

Please help me with this its very hard to visualize the problem. The analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions, for which graphical work is inconvenient. …

More Similar Questions

Post a New Question