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February 19th, 2019, 05:53 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 06:47 PM. Reason: forgot to add the rest of the question
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February 19th, 2019, 06:41 PM   #2
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$\vec{HG}$ and $\vec{EH}$
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February 19th, 2019, 09:26 PM   #3
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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?
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February 20th, 2019, 04:34 AM   #4
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In each case, the answer corresponds to some diagonal of the parallelogram.
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