The dot product associated to sides AB and BC is 0.
What is the dot product generated by two sides of a triangle?
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.
Remark
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:
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