Question

Find the magnitude of the vector from the origin to (8. - 6) and write the vector as the sum of unit vectors.

Answer 1

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

Step-by-step 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