Vector Components and Flight Paths

In summary, a commuter airplane starts from an airport and flies to city "A" 110km away in a direction 36 degrees North of East. Then it flies to city "B" 61.8km away in a direction 38 degrees West of North. Finally, it flies to city "C" 168km due West. To find the x-component bx of vector B, use bx = -b sin beta, where beta is the angle of 38 degrees west of north.
  • #1
runner1738
71
0
A commuter airplane starts from an airport located at the origin. first it flies to city "A" located a =110km away from the airport in a direction alpha = 36 degrees North of East. Next it flies b =61.8km beta=38 degrees west of north to city "B". Finally it flies c=168 km due West to city "C". Consider "E" to be the positive x and "N" to be the positive y axis. Which of the following is equal to the x-component bx of vector B? then the answers are like bx=-btanbeta and so forth
 
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  • #2
Okay,what did u do...?Or try to do ?

Daniel.
 
  • #3
ok i got bx=-b sin beta, and by = b cos beta, but for the rx compent I am not getting the right answer i think its ax + bx=rx -110sin(36)+61.8sin(38) but that wasnt right
 
  • #4
That angle of 38° (for "B") wrt what axis is it computed...?

Daniel.
 
  • #5
west of north sorry to city B
 

FAQ: Vector Components and Flight Paths

What are the different components of a vector?

The two main components of a vector are magnitude and direction. Magnitude refers to the size or length of the vector, while direction refers to the orientation or angle at which the vector is pointing.

How do you find the magnitude of a vector?

The magnitude of a vector can be found using the Pythagorean theorem, by taking the square root of the sum of the squares of its individual components. For example, if a vector has components (3,4), the magnitude would be √(3²+4²) = 5.

How do you represent vectors graphically?

Vectors can be represented graphically using arrows. The length of the arrow represents the magnitude of the vector, and the direction in which the arrow points represents the direction of the vector.

What is the difference between a scalar and a vector?

A scalar is a quantity that has only magnitude, such as temperature or speed. A vector, on the other hand, has both magnitude and direction, such as velocity or force.

How do you add or subtract vectors?

To add or subtract vectors, you can use the parallelogram rule or the head-to-tail method. In the parallelogram rule, you draw the two vectors as adjacent sides of a parallelogram, and the resulting diagonal represents the sum or difference of the vectors. In the head-to-tail method, you draw the first vector starting from the origin, and the second vector starting from the tip of the first vector. The sum or difference of the vectors can then be found from the length and direction of the resulting vector from the origin.

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