Final answer:
The scalar product of two unit vectors with an angle of π between them is -1.
Step-by-step explanation:
To compute the scalar product (or dot product) u * v of two unit vectors u and v where the angle between them is π (180 degrees), we can use the formula A.B = |A||B|cos(θ). Since u and v are unit vectors, their magnitudes are 1. Therefore, the scalar product simplifies to u * v = 1 * 1 * cos(π) which equals 1 * 1 * (-1), as cos(π) is -1. Hence, the result of u * v is -1.
The scalar product of two unit vectors with an angle of π between them is -1.
The scalar product of two unit vectors can be calculated using the equation A.B = |A||B|cos(θ), where A and B are the unit vectors and θ is the angle between them. In this case, since the angle between u and v is π, the cosine of π is -1. Therefore, the scalar product simplifies to A.B = -|u||v|. Since both u and v are unit vectors with magnitudes of 1, the scalar product is -1.