Vector Resolution: Engineering Math Exam Question

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To resolve the three force vectors from the engineering math exam, the correct procedure involves first finding the resultant force by adding the i, j, and k components of each vector. After obtaining the resultant vector, its magnitude can be calculated by squaring the components, summing them, and taking the square root. The question was designed to be straightforward, worth only 5 marks, which contributed to the uncertainty about its simplicity. The approach of summing the components and calculating the magnitude is indeed the correct method. This confirms the understanding of vector resolution in engineering contexts.
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Homework Statement


hey, we just had our engineering math exam and one of the questions wanted us to resolve 3 force vectors (find the magnitude). I don't remember the exact values but it was something like F_1=1i-j+2k F_2=3i+j+3k and F_3=-2i+j+k all i could think to do was add up the i j and k components and then square and add and take the square root of that. just wandering whether that is the right procedure or not?/

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The Attempt at a Solution

 
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Are you asked to find the magnitude of each vector?
 
no the resultant magnitude
 
Then what you did is correct. First, you find the resultant force. Then calculate its magnitude.
 
Last edited:
it was meant to be a relatively easy question (only worth 5 marks) i was just unsure because of how easy it was. thanks again
 

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