Question

Find the resultant vector (mag. and dir.) given the following information: Ax = 5.7, Ay = 3.4

Answer 1

Magnitude = 6.64

Direction =
`30.82^0` from horizontal.

Step-by-step explanation:

We have horizontal component of vector Ax = 5.7 and vertical component of vector Ay = 3.4.

Magnitude of vector acting perpendicularly =
`√(A_x^2+A_y^2)`

Substituting

`A=√(A_x^2+A_y^2) =√(5.7^2+3.4^2) =6.64`

Direction θ =
`tan^(-1)((A_y)/(A_x) )`

Substituting

θ =
`tan^(-1)((A_y)/(A_x) )= tan^(-1)((3.4)/(5.7))=30.82^0`