Find the area of the parallelogram with vertices A=(−1,3,4)，B=(0,5,9),C=(1,2,6),and D=(2,4,11).
Question
Solution 1
To find the area of a parallelogram given its vertices in 3D space, we can use the formula:
Area = ||AB x AC||
where AB and AC are vectors formed by the vertices A, B, and C, and x denotes the cross product.
Step 1: Find the vectors AB and AC.
AB = B - A = (0,5,9) - (-1,3,4) = (1,2,5) AC = C - A Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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