Vectors using the component method

AI Thread Summary
To add vectors using the component method, first calculate the x-component by multiplying the magnitude by the cosine of the angle, resulting in 2.56 for the i component. For the y-component, use the sine function: multiply the magnitude by sin(31.5°) to find the j component. The resultant vector can then be expressed in unit-vector notation as ...i + ...j. Clarification on the sine calculation for the y-axis is requested for further assistance. Accurate calculations are essential for determining the correct resultant vector.
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

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