Find the signed area of the parallelogram formed by the following pairs of vectors in

Chapter 5, Problem 1

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QUESTION:

Find the signed area of the parallelogram formed by the following pairs of vectors in \(\mathbb{R}^{2}\).

a. x = (1, 5), y = (2, 3)

b. x = (4, 3), y = (5, 4)

c. x = (2, 5), y = (3, 7)

Questions & Answers

QUESTION:

Find the signed area of the parallelogram formed by the following pairs of vectors in \(\mathbb{R}^{2}\).

a. x = (1, 5), y = (2, 3)

b. x = (4, 3), y = (5, 4)

c. x = (2, 5), y = (3, 7)

ANSWER:

Step 1 of 3

Area of parallelogram formed by vectors is given by:

For given vectors:

(a)

So, the required area is .

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