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## Main Question or Discussion Point

Hi all, I am having trouble understanding inner products. Specifically, using inner products to find the angle between two vectors. Our lecturer has given an example, as follows;

(u,v)= 4u1v1 + u1v2 + u2v1 + u2v2, where u=(1,0) v=(0,1)

(u,v)=|u|.|v|cosθ

1=(√4)cosθ

θ=∏/3

Surely the angle between the two vectors is ∏/2? I can't understand why it is ∏/3.

(u,v)= 4u1v1 + u1v2 + u2v1 + u2v2, where u=(1,0) v=(0,1)

(u,v)=|u|.|v|cosθ

1=(√4)cosθ

θ=∏/3

Surely the angle between the two vectors is ∏/2? I can't understand why it is ∏/3.