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Solved: Areas of parallelograms Find the area of the
Chapter 10, Problem 43E(choose chapter or problem)
42-45. Areas of parallelograms Find the area of the following parallelograms P.
Two of the adjacent sides of P are \(\mathbf{u}=\langle-1,1,1\rangle\) and \(\mathbf{v}=\langle 0,-1,1\rangle\).
Questions & Answers
QUESTION:
42-45. Areas of parallelograms Find the area of the following parallelograms P.
Two of the adjacent sides of P are \(\mathbf{u}=\langle-1,1,1\rangle\) and \(\mathbf{v}=\langle 0,-1,1\rangle\).
ANSWER:Solution 43E
Step 1 of 3:
In this problem we need to find the area of the parallelogram P that has two adjacent sides u and v.
We know that “The area of the parallelogram will be the length of the cross product of adjacent sides (that is, non-parallel) sides”
Given: two adjacent sides of parallelogram u = 〈-1,1,1〉 and v = 〈0,-1,1〉
Therefore the area of the parallelogram is