Answer:
a · b = 28 units
Step-by-step explanation:
Given vectors
a = (-5, 1/2)
b = (-5, 6)
The scalar or dot product of the two vectors, given by a · b is
a · b = (-5, 1/2) · (-5, 6)
To solve this, multiply the first term in a with the first term in b and add the result to the product of the second term in a and the second term in b. i.e
a · b = (-5 x -5) + (1/2 x 6)
a · b = 25 + 3
a · b = 28
Therefore, the dot product of a and b is
a · b = 28 units
