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Worksheet: Geometric Application on Vectors

Q1:

𝐴 𝐡 𝐢 𝐷 is a parallelogram with  𝐴 𝐡 = ⟨ βˆ’ 1 , 1 , 3 ⟩ and  𝐴 𝐷 = ⟨ 3 , 4 , 1 ⟩ . Find the area of 𝐴 𝐡 𝐢 𝐷 . Give your answer to one decimal place.

Q2:

𝐴 𝐡 𝐢 𝐷 is a parallelogram with 𝐴 ( 1 , 2 , 1 ) , 𝐡 ( βˆ’ 2 , 4 , 3 ) , 𝐢 ( 0 , 3 , 6 ) , and 𝐷 ( 3 , 1 , 4 ) . Find the area of 𝐴 𝐡 𝐢 𝐷 . Give your answer to one decimal place.