Final answer:
The scalar product of vectors A = 4.80i + 7.60j and B = 5.30i - 2.60j is found by multiplying corresponding components and adding them together, resulting in a scalar product of 5.68.
Step-by-step explanation:
The student is asking how to find the scalar product (also known as the dot product) of two vectors A and B. The scalar product is calculated by multiplying the corresponding components of the two vectors and then adding those products together. In this case, the vectors provided are A = 4.80i + 7.60j and B = 5.30i - 2.60j.
To find the scalar product A.B, you use the formula:
A.B = AxBx + AyBy
Plugging in the values from vectors A and B:
A.B = (4.80)(5.30) + (7.60)(-2.60)
A.B = 25.44 - 19.76
A.B = 5.68
The scalar product of vectors A and B is 5.68.