Question about Finding total vector graphically

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SUMMARY

The total vector T, resulting from the addition of vectors A, B, and C, can be determined graphically by correctly positioning the vectors based on their magnitudes and angles. Vector A has a magnitude of 5 mph along the x-axis, vector B has a magnitude of 8 mph at an angle of 150 degrees, and vector C has a magnitude of 10 mph at an angle of 255 degrees. To find the resultant vector T, attach the tail of vector B to the head of vector A, and then attach the tail of vector C to the head of vector B. The resultant vector T is drawn from the origin to the head of vector C.

PREREQUISITES
  • Understanding of vector addition
  • Familiarity with graphical representation of vectors
  • Knowledge of angles in standard position
  • Basic trigonometry for vector components
NEXT STEPS
  • Learn how to decompose vectors into their components using trigonometric functions
  • Explore vector addition using the parallelogram law
  • Study graphical methods for vector addition in physics
  • Investigate the use of software tools for vector visualization, such as GeoGebra
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Students studying physics or mathematics, particularly those focusing on vector analysis and graphical methods of vector addition.

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Homework Statement


The vector A has a magnitude of 5 mph and points along the x-axis, vector B has a magnitude of 8 mph and makes an angle of 150 degrees, and vector C has a magnitude of 10 mph and an angle of 255 degrees. Find the total vector T = A + B + C graphically by tracing the arrows in your notebook and drawing the total vector.


Homework Equations


How do I find the total vector of A, B, and C graphically?


The Attempt at a Solution


On my paper, I drew Vector A, B, and C at their respective angles already.

http://img137.imageshack.us/img137/1710/vectorp.png

Uploaded with ImageShack.us

I don't know where to draw the Total vector T. Do I connect B with A, A with C, and C with B to form a triangle?
 
Last edited by a moderator:
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mxh91 said:

Homework Statement


The vector A has a magnitude of 5 mph and points along the x-axis, vector B has a magnitude of 8 mph and makes an angle of 150 degrees, and vector C has a magnitude of 10 mph and an angle of 255 degrees. Find the total vector T = A + B + C graphically by tracing the arrows in your notebook and drawing the total vector.


Homework Equations


How do I find the total vector of A, B, and C graphically?


The Attempt at a Solution


On my paper, I drew Vector A, B, and C at their respective angles already.

http://img137.imageshack.us/img137/1710/vectorp.png

Uploaded with ImageShack.us

I don't know where to draw the Total vector T. Do I connect B with A, A with C, and C with B to form a triangle?

You drew it wrong.

Attach the tail of vector B to the head (literally the arrowhead) of vector A; and then the tail of vector C to the head of vector B. Draw the restultant vector from the origin to the head of vector C.
 
Last edited by a moderator:

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