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 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
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 Originally Posted by Indranil If the vector A = 2iˆ+4jˆ and B = 5iˆ+pjˆ are parallel to each other, the magnitude of B is____________ how to solve it?
if vector A and B are parallel, then vector B is a constant multiple of vector A ...

$\displaystyle 5\hat{i}+p\hat{j} = k(2\hat{i}+4\hat{j}) \implies 2k = 5 \text{ and } 4k=p$

solve for $p$, then $|\vec{B}| = \sqrt{5^2 + p^2}$ July 15th, 2019, 09:13 AM   #3
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 Originally Posted by skeeter if vector A and B are parallel, then vector B is a constant multiple of vector A ... $\displaystyle 5\hat{i}+p\hat{j} = k(2\hat{i}+4\hat{j}) \implies 2k = 5 \text{ and } 4k=p$ solve for $p$, then $|\vec{B}| = \sqrt{5^2 + p^2}$
I don't understand this concept 'then vector B is a constant multiple of vector A ...'
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. Tags vector Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post MaharshiKintada New Users 1 April 19th, 2019 02:39 AM whitegreen Linear Algebra 1 June 9th, 2015 06:11 AM babarorhum Algebra 0 October 20th, 2011 03:53 PM MasterOfDisaster Calculus 2 September 26th, 2011 09:17 AM tsa256 Algebra 3 August 20th, 2010 07:33 AM

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