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)

Algebra ->  Finance -> 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)       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
.

(1)  Calculate the magnitude of vector (q)  


     |q| = sqrt%283%5E2+%2B%28-1%29%5E2%2B1.5%5E2%29 = sqrt%289+%2B+1+%2B+2.25%29 = sqrt%2812.25%29 = 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.