Find Combined Vector Given Angles: Is It Possible?

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In summary, it is possible to find the two vectors that make up a combined vector by using all the angles that relate the combined vector to the individual vectors. This can be done by either drawing a vector triangle and using the sine rule, or by using components parallel and perpendicular to the combined vector. An example can be found at the link provided.
  • #1
Femme_physics
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If you're only given the combined vector and you're asked to find the two vectors that made up this combined vectors, and you got all the angles you need that relate the combined vector to the vectors you've combined. Is it possible to get the answer from that info alone? If so, how?
 
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Hi Femme_physics! :wink:

Yes, either draw a vector triangle and use the sine rule, or use components parallel and perpendicular to the combined vector.

Would you like to try one, so that we can see if you're getting it right? :smile:​
 
  • #3
Ah tiny-tim...you're recognized me in my disguise have you? ;)

Would you like to try one, so that we can see if you're getting it right?
Yes, I would! I tried that now..no triangles I draw seem to work!

So I won't get a warning for askig a HW question, try this link:

https://www.physicsforums.com/showthread.php?p=3126490#post3126490
 

FAQ: Find Combined Vector Given Angles: Is It Possible?

Is it possible to find the combined vector given angles?

Yes, it is possible to find the combined vector given angles. This can be done using vector addition or trigonometric functions, depending on the given information.

What is vector addition and how does it help in finding the combined vector?

Vector addition is a mathematical operation that involves combining two or more vectors to produce a resultant vector. This resultant vector represents the combined effect of the individual vectors and can be used to find the combined vector given angles.

Can trigonometric functions be used to find the combined vector given angles?

Yes, trigonometric functions such as sine, cosine, and tangent can be used to find the combined vector given angles. These functions can be applied to the given angles and vector magnitudes to find the resultant vector's magnitude and direction.

Are there any special cases to consider when finding the combined vector given angles?

Yes, there are a few special cases to consider when finding the combined vector given angles. These include when the angles are in the same direction, opposite direction, or perpendicular to each other. In these cases, the vector addition or trigonometric functions may need to be adjusted accordingly.

Can a calculator be used to find the combined vector given angles?

Yes, a calculator can be used to find the combined vector given angles. Most scientific calculators have functions for vector addition and trigonometric functions, making it easier to calculate the resultant vector. However, it is important to double-check the calculations and ensure they are done correctly.

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