Solution: Area of a parallelogram Find the area of the

Chapter 10, Problem 22E

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QUESTION:

Area of a parallelogram Find the area of the parallelogram that has two adjacent sides u and v.

u = 8i + 2j - 3k, v = 2i + 4j - 4k

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QUESTION:

Area of a parallelogram Find the area of the parallelogram that has two adjacent sides u and v.

u = 8i + 2j - 3k, v = 2i + 4j - 4k

ANSWER:

Solution 22E

Step 1:

In this problem we need to find the area of the parallelogram 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 = 8i + 2j - 3k, v = 2i + 4j - 4k

Therefore the area of the parallelogram is

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