Solved: Areas of parallelograms Find the area of the

Chapter 10, Problem 43E

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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 \(\mathbf{v}=\langle 0,-1,1\rangle\).

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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

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