July 15th, 2019, 08:28 AM  #1 
Newbie Joined: Jul 2019 From: India Posts: 11 Thanks: 0  Vector
If the vector A = 2iˆ+4jˆ and B = 5iˆ+pjˆ are parallel to each other, the magnitude of B is____________ how to solve it? 
July 15th, 2019, 08:39 AM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 3,002 Thanks: 1587  Quote:
$\displaystyle 5\hat{i}+p\hat{j} = k(2\hat{i}+4\hat{j}) \implies 2k = 5 \text{ and } 4k=p$ solve for $p$, then $\vec{B} = \sqrt{5^2 + p^2}$  
July 15th, 2019, 09:13 AM  #3  
Newbie Joined: Jul 2019 From: India Posts: 11 Thanks: 0  Quote:
could you make this point easier for me with an easy example, please?  
July 15th, 2019, 09:33 AM  #4 
Math Team Joined: Jul 2011 From: Texas Posts: 3,002 Thanks: 1587 
two vectors ... $\vec{C} = 3\hat{i} + 4\hat{j}$ $\vec{D} = 6\hat{i} + 8\hat{j}$ note $\vec{D} = 2 \vec{C}$ both vectors have slope $\dfrac{4}{3}$, meaning they point in the same direction. 

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