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2 years ago

If a(5,3),b(0,0) and c(-3,5) are the vertices of a triangle then the value of AB.BC is

Mathematics

1 answer:

statuscvo [17]2 years ago

8 0

The dot product associated to sides AB and BC is 0.

<h3>What is the dot product generated by two sides of a triangle?</h3>

In this question we must find the dot product of two vectors associated with two surrounding sides of a triangle. First, we need to find the vectors associated to sides AB and BC:

Side BA

BA = (5, 3) - (0, 0)

BA = (5, 3)

Side BC

BC = (- 3, 5) - (0, 0)

BC = (- 3, 5)

By definition of dot product, the result associated to the two sides of the triangle is:

BA • BC = (5, 3) • (- 3, 5)

BA • BC = (5) · (- 3) + (3) · (5)

BA • BC = - 15 + 15

BA • BC = 0

The dot product associated to sides AB and BC is 0.

<h3>Remark</h3>

The statement is poorly formatted, the correct form is shown below:

If A(x, y) = (5, 3), B(x, y) = (0, 0) and C(x, y) = (- 3, 5) are the vertices of a triangle then the value of the dot product between vectors AB and BC is:

To learn more on dot product: brainly.com/question/14455586

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