Question

A vector is 0.888m long and points in a 205 degree direction. find the y component

Answer 1

-0.805 m

Explanation:

The x-component of a vector is given by:

where

v is the magnitude of the vector

is the angle of the vector with respect to the positive x-direction

In this problem we have

v = 0.888 m

so we have

Answer 2

Explanation:

It is given that,

Length of vector, l = 0.888 m

Angle between the vector with respect to positive x direction,
`\theta=205`

We need to find the y component of the vector. The y component of the vector is given by :

`l_y=v\ sin\theta`

`l_y=0.888* \ sin(205)`

`l_y=-0.375\ m`

So, the length of the vector is in y direction is (-0.375 m). Hence, this is the required solution.