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

Answer:

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)