The magnitude of the vector from the origin is 10
The unit vector in of the vector from the origin as (8/10, -6/10
Explanation:
1.Finding the magnitude,
we have the formula,
magnitude=√a²+b²
we have the values as a=8 and b=-6
Finding the magnitude we get,
magnitude=√a²+b²
magnitude=√8²+6²
magnitude=√100
magnitude=10
The magnitude of the vector from the origin is 10
2.Finding the unit vector
Divide by the magnitude
Unit vector: (8/10, -6/10)
The unit vector in of the vector from the origin as (8/10, -6/10