Question

Part B What is the magnitude of the vector u = < 4, 7 >?

Answer 1

For vector u = <a,b> the magnitude is
`√(a^2+b^2)` because of the Pythagorean theorem. It represents the distance from (0,0) to (a,b).

In this case, a = 4 and b = 7

`√(a^2+b^2) = √(4^2+7^2) = √(65) \approx 8.0622577`

Answer:

Exact magnitude =
`√(65)`

Approximate magnitude = 8.0622577