Question

What is the magnitude and direction of Vector GH if G(2, -2) and H(7, 6)?

Answer 1

magnitude is just the length of the vector... just take the distance between these two points.
for direction, you'll need to split it up into its i and j components.

Answer 2

GH = <5, 8>

so its pointing in a northeast direction.

magnitude = sqrt(25 + 64)

Answer 3

these are the options
magnitude: 9.43 units; direction 32.01°

magnitude: 9.43 units: direction: 57.99°

magnitude: 6.4 units: direction: 32.01°

magnitude: 6.4 units; direction: 57.99°

Answer 4

to get the direction, solve for:

tan x = 8/5

Answer 5

magnitude: 9.43 units: direction: 57.99°

Answer 6

your right thanks