My Math Forum State the single vector equal to each of the following

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February 19th, 2019, 06:53 PM   #1
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State the single vector equal to each of the following

In parallelogram EFGH, EF=u and FG=v. State a single vector equal to each of the following.

a) u+v
b) u-v
c) -u-v
d) v-u
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Last edited by weather23; February 19th, 2019 at 07:47 PM. Reason: forgot to add the rest of the question

 February 19th, 2019, 07:41 PM #2 Global Moderator   Joined: Dec 2006 Posts: 21,113 Thanks: 2327 $\vec{HG}$ and $\vec{EH}$
 February 19th, 2019, 10:26 PM #3 Senior Member     Joined: Sep 2015 From: USA Posts: 2,641 Thanks: 1475 a) $\vec{u}+\vec{v}$ position $\vec{v}$ so that it starts at $E$. Hopefully it's clear that $\vec{u}+\vec{v}=\vec{EG}$ b) $\vec{u}-\vec{v}$ flip $\vec{v}$ the other direction position $\vec{u}$ so that it starts at $H$ similar to (a) $\vec{u}-\vec{v} = \vec{HF}$ can you do the remaining two?
 February 20th, 2019, 05:34 AM #4 Global Moderator   Joined: Dec 2006 Posts: 21,113 Thanks: 2327 In each case, the answer corresponds to some diagonal of the parallelogram.

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