Dot product of the two vectors: -51
Step-by-step explanation:
Given two vectors [tex](a_x,a_y)[/tex] and [tex](b_x,b_y)[/tex], their dot product (also known as the scalar product) is given by
[tex]a\cdot b = a_x b_x + a_y b_y[/tex]
The two vectors in this problem are:
[tex](a_x, a_y)=(2,5)[/tex]
and
[tex](b_x,b_y)=(-8,-7)[/tex]
Therefore, the dot product is
[tex]a\cdot b = (2\cdot (-8))+(5\cdot (-7))=-16 + (-35)=-51[/tex]
Note that the result of the scalar product of two vectors is a scalar.
Learn more about vectors:
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