Final answer:
To find the unit vector in the opposite direction of v = ٬-4,-3٩, we need to first find the magnitude of vector v. Once we have the magnitude of v, we can find the unit vector in the opposite direction by dividing each component of v by its magnitude.
Step-by-step explanation:
To find the unit vector in the opposite direction of v = Ÿ¨-4,-3Ÿ©, we need to first find the magnitude of vector v. The magnitude of a vector is given by the formula |v| = √(v1^2 + v2^2), where v1 and v2 are the components of the vector.
In this case, v1 = -4 and v2 = -3. So the magnitude of v is |v| = √((-4)^2 + (-3)^2) = √(16 + 9) = √25 = 5.
Once we have the magnitude of v, we can find the unit vector in the opposite direction by dividing each component of v by its magnitude. So the unit vector in the opposite direction of v is ٬-4/5, -3/5٩.