Question

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

Answer 1

magnitude: 9.43 units; direction 32.01
magnitude: 6.4 units; direction: 57.99°
magnitude: 9.43 units: direction: 57.99
magnitude: 6.4 units: direction: 32.01

Answer 2

is that G+H? or \(\bf G \cdot H\)?

Answer 3

its a vector

Answer 4

so plus i think

Answer 5

well, the G+H will be = <2+7, -2+6> => <9, 4>

Answer 6

\(\bf \text{magnitude of a vector} \\ ||v|| = <a, b> = \sqrt{a^2+b^2}\)

Answer 7

and the angle or direction is going towards comes from the angle from
\(\bf \cfrac{v}{||v||}\)

Answer 8

well, that wont' give you much of an angle, but if you take the tangent of the 2 components, should

Answer 9

ok thanks

Answer 10

thus the GH = <9, 4> is moving at the angle of
$$
tan(\theta)= \frac{4}{9}\\
\theta = tan^{-1}\pmatrix{\frac{4}{9}} \implies 23.96^o
$$

Answer 11

right...