What is the resultant of these vectors?

In summary, the resultant of two vectors in the same direction and pointing the same way is the sum of their modules. When two vectors are not in the same direction, the resultant is the diagonal of the half parallelogram they form.
  • #1
deaninator
64
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Homework Statement


What is the resultant of these vectors? (Pictures included).


Homework Equations


Their can either go
Straight up vertically
Straight right horizontally
Southwest (shooting 45 degree)
Northeast (shooting upwards 45 degrees)


The Attempt at a Solution



Thanks!
 

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  • #2
Hello there,

i don't see how we can help you in this one, for me the answers are obvious but anyway : when two vectors are in the same direction and pointing to the same way, an addition results in a third vector who's module is the sum of the previous two

when two vectors are not in the same direction, the result is the diagonal of the half parallelogram they form
 

1. What is a resultant vector?

A resultant vector is the single vector that represents the sum or combination of two or more vectors. It takes into account both the magnitude and direction of each individual vector.

2. How do you find the resultant of two vectors?

To find the resultant of two vectors, you must first determine the magnitude and direction of each vector. Then, you can use mathematical operations such as addition or subtraction to combine the vectors and find the resultant.

3. What is the difference between a resultant vector and a component vector?

A resultant vector represents the combined effect of multiple vectors, while a component vector is a single vector that contributes to the resultant. Component vectors can be used to break down a resultant vector into its individual parts.

4. Can the resultant vector be larger than the individual vectors it is made up of?

Yes, it is possible for the resultant vector to be larger than the individual vectors it is made up of. This can occur when the individual vectors are in opposite directions and cancel each other out, resulting in a larger net effect.

5. How is the direction of the resultant vector determined?

The direction of the resultant vector is determined by the direction of the individual vectors it is made up of. It can be found using trigonometric functions or by using the inverse tangent function to find the angle between the horizontal and vertical components of the resultant vector.

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