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hi guys just want to clarify something...

If we are givin (vectors w u and v) w=au +bv what can we say about w

a) if u and v are independant?

b) if u an v are dependant?

this is what i got so far.

a) w cannot be writtin as a scalar multiple of u and v and are therefore not coplanar.

b)w can be written as a scalar multiple of u and v and are therefor coplanar.

but i think there is more to it. I don't think my answer explains enough.

in a) can i say that w=0?... just trying to find more properties of w for a) and b)... any help would be appreciated. thnks.

- Tu

If we are givin (vectors w u and v) w=au +bv what can we say about w

a) if u and v are independant?

b) if u an v are dependant?

this is what i got so far.

a) w cannot be writtin as a scalar multiple of u and v and are therefore not coplanar.

b)w can be written as a scalar multiple of u and v and are therefor coplanar.

but i think there is more to it. I don't think my answer explains enough.

in a) can i say that w=0?... just trying to find more properties of w for a) and b)... any help would be appreciated. thnks.

- Tu

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