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

The magnitude of a vector is simply the Pythagorean Theorem!

\sqrt{a^2+b^2} = magnitude

a

2

+b

2

=magnitude

a=8, b=-6

\sqrt{8^2+(-6)^2} = magnitude

8

2

+(−6)

2

=magnitude

magnitude = 10

Unit vector: (8/10, -6/10).

Divide by 10!(magnitude)

vbbv

step-by-step explanation:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6