Find the magnitude of the vector from the origin to (8. - 6) and write the vector as the sum of unit vectors.
1. 12, 87 +67
c. 12. 87-67

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

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i