U = {(a,−a,b,c) | a,b,c ∈ ? } and W = {(p,q,-p,r) | p,q,r ∈ ? }. Is U ∩ W = {0}? If it isn't, then what is their intersection?

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Chapter2: Second-order Linear Odes
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I am having troubles understanding intersection of subspaces.

For instance, I have these two subspaces, U = {(a,−a,b,c) | a,b,c ∈ ? } and W = {(p,q,-p,r) | p,q,r ∈ ? }.

Is U ∩ W = {0}? If it isn't, then what is their intersection?

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