Vectors using the component method

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SUMMARY

The discussion focuses on using the component method to add vectors, specifically calculating the resultant vector in unit-vector notation. The length of the vector is given as 2.55 m with an angle θ of 31.5°. The user has successfully calculated the x-component using the formula 3*cos(31.5), resulting in 2.56 for the i component but requires assistance in determining the y-component for the j direction. The correct approach involves using the sine function to find the y-component.

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  • Familiarity with trigonometric functions, specifically sine and cosine
  • Knowledge of unit-vector notation
  • Basic geometry involving angles and lengths
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farhana21
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Use the component method to add the vectors and shown in the figure. The length of is 2.55 m and the angle θ = 31.5°. Express the resultant + in unit-vector notation.

The answer should be in the form of ...i + ...j

so far i have done

3*cos(31.5) = 2.56 so this is for ...i but I am unsure of how to find vector j for the y axis.

Please could someone advise me. All help and guidance given is much appreciated

vector.gif
 
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