SOLUTION: Vector (r) has a magnitude of 10.5 units and is parallel to vector (q). Given that (q)=(3i)-(j)+(1.5k). Find the position vector of (r)

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Question 1201931: Vector (r) has a magnitude of 10.5 units and is parallel to vector (q). Given that (q)=(3i)-(j)+(1.5k). Find the position vector of (r)
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

(1)  Calculate the magnitude of vector (q)  


     |q| =  =  =  = 3.5.



(2)  Notice that the magnitude of vector (r), 10.5, is three times 
     the magnitude of vector {q), 3.5.



(3)  With the condition of parallelity, it means that each components of vector 
     {r) is three times the corresponding component of vector (q).


     So,  (r) = (9i) - (3j) + (4.5k).      ANSWER

Solved.




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