Given two vectors AS= 4.00nd + 7.00ne and BS= 5.00nd

Chapter 1, Problem 1.38

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QUESTION:

Given two vectors AS= 4.00nd + 7.00ne and BS= 5.00nd 2.00ne, (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference A S B S ; and (c) find the magnitude and direction of the vector difference A S B S . (d) In a vector diagram show A S , B S , and A S B S , and show that your diagram agrees qualitatively with your answer to part (c).

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QUESTION:

Given two vectors AS= 4.00nd + 7.00ne and BS= 5.00nd 2.00ne, (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference A S B S ; and (c) find the magnitude and direction of the vector difference A S B S . (d) In a vector diagram show A S , B S , and A S B S , and show that your diagram agrees qualitatively with your answer to part (c).

ANSWER:

Step 1 of 5

The difference between two vectors is the difference of the component of the vectors along each coordinate axes. If a vector is like, then the magnitude is,

                                                         

Likewise the magnitude of vectors A and B can be expressed as,

                                                           

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