Question

A vector is given in terms of its magnitude, v=8.7m/s and its direction, 256 degrees standard position. a) what is this vector in component form?

b) which quadrant is this vector in?

Answer 1

Step-by-step explanation:

Given

magnitude of vector=8.7 m/s

Direction
`=256^(\circ)`

Therefore vector x component is
`=8.7\cos (256)`

=-2.104

i.e. it is acting in negative x axis

vector y component
`=8.7\sin (256)=-8.44 m/s`

Therefore it lies in negative y axis

Judging vector x and y component

It lies in third quadrant