Final answer:
The scalar product of vectors A ⟶ = 4.30i^ + 7.20j^ and B⟶ = 5.20i^ − 2.30j^ is calculated using the formula A ⋅ B = Ax Bx + Ay By, which results in a scalar product of 5.80.
Step-by-step explanation:
To find the scalar product (also known as the dot product) of two vectors A and B, we use the following formula:
A ⋅ B = Ax Bx + Ay By
Where Ax and Ay are the scalar components of vector A along the x and y axes respectively, and Bx and By are the scalar components of vector B along the x and y axes.
Given vectors:
A⟶ = 4.30i^ + 7.20j^
B⟶ = 5.20i^ − 2.30j^
The scalar product is calculated as:
A⋅ B = (4.30)(5.20) + (7.20)(-2.30)
A⋅ B = 22.36 − 16.56
A⋅ B = 5.80
Therefore, the scalar product of vectors A and B is 5.80.