Worksheet: Geometric Application on Vectors

In this worksheet, we will practice finding the area of a parallelogram using the cross product of two vectors.

Q1:

𝐴 𝐵 𝐶 𝐷 is a parallelogram with 𝐴 𝐵 = 1 , 1 , 3 and 𝐴 𝐷 = 3 , 4 , 1 . Find the area of 𝐴 𝐵 𝐶 𝐷 . Give your answer to one decimal place.

Q2:

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

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