Question

What is the magnitude and direction of if G(3, -2) and H(6, 4)?

magnitude: 6.71 units; direction 63.43°

magnitude: 6.71 units: direction: 26.57°

magnitude: 3.61 units; direction: 26.57°


magnitude: 3.61 units: direction: 63.43°

Answer 1

magnitude is just distance between the two points, use the formula :
\[\sqrt{(x2-x1)^2 + (y2-y1)^2}\]

direction formula :
\[\theta = tan^-1\ \frac{y2-y2}{x2-x1}\]

Answer 2

its
\[\theta = tan^-1\ \frac{y2-y1}{x2-x1} \]