Vector Addition: A (41.0 m, 20.0°) + B (70.0 m, 44.0°) = C?

  • Thread starter xobianca62ox
  • Start date
  • Tags
    Vector
In summary, A vector A has a magnitude of 41.0 m and points in a direction 20.0° below the positive x axis. A second vector, B, has a magnitude of 70.0 m and points in a direction 44.0° above the positive x axis. Using the component method of vector addition, the magnitude of vector C is 108.5 m and it points in a direction 9.0° above the positive x axis.
  • #1
xobianca62ox
2
0
A vector A has a magnitude of 41.0 m and points in a direction 20.0° below the positive x axis. A second vector, B, has a magnitude of 70.0 m and points in a direction 44.0° above the positive x axis.


(b) Using the component method of vector addition, find the magnitude and direction of the vector C(counterclockwise from the positive x-axis)
 
Physics news on Phys.org
  • #2
xobianca62ox said:
A vector A has a magnitude of 41.0 m and points in a direction 20.0° below the positive x axis. A second vector, B, has a magnitude of 70.0 m and points in a direction 44.0° above the positive x axis.

(b) Using the component method of vector addition, find the magnitude and direction of the vector C(counterclockwise from the positive x-axis)
What have you tried?

Where are you stuck?

You ned to show us your attempt, before we can help.
 
  • #3
nevermind i figured out the answer!
 

Related to Vector Addition: A (41.0 m, 20.0°) + B (70.0 m, 44.0°) = C?

1. What is vector addition?

Vector addition is a mathematical operation that combines two or more vectors to form a new vector. It involves adding the magnitudes and directions of the individual vectors to determine the resulting vector.

2. How do you add vectors using the given information?

To add vectors using the given information, we first need to convert the given magnitudes and angles into their respective components (x and y). Then, we can add the x-components together to get the x-component of the resulting vector, and add the y-components together to get the y-component. Finally, we can combine the x and y-components to determine the magnitude and direction of the resulting vector using trigonometric functions.

3. What are the units of the resulting vector?

The units of the resulting vector will be the same as the units of the individual vectors being added. In this case, the units will be meters (m) for both magnitude and direction.

4. Can vectors be added in any order?

Yes, vectors can be added in any order. The resulting vector will be the same regardless of the order in which the vectors are added. This is known as the commutative property of vector addition.

5. How can vector addition be applied in real-world situations?

Vector addition has many real-world applications, such as determining the displacement and velocity of an object, calculating forces and accelerations in physics, and navigation in engineering and aviation. It is also used in computer graphics and animation to create realistic movements and effects.

Similar threads

Vectors A and B are in the xy plane
Replies
6
Views
2K
Confusion with force components
Replies
21
Views
2K
Calculate electric force using Coulomb's law (vector components are the struggle)
Replies
3
Views
442
What is the induced magnetic force on this closed current loop?
Replies
12
Views
710
Relative Velocity and Angles of Movement (Sears & Zemansky's Exercise)
Replies
11
Views
2K
Signs of work done and delta K.E.
Replies
2
Views
732
How does an eddy current brake work exactly?
Replies
2
Views
802
Finding z component of a unit vector
Replies
2
Views
2K
How to Calculate the Bird's Net Displacement Using Vector Addition?
Replies
3
Views
1K
Vectors in yz and xz plane dot product, cross product, and angle
Replies
8
Views
1K

Hot Threads

Recent Insights

Back
Top