Question

Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors i and j. |????| = 11, θ = 225°

Answer 1

horizontal component =-7.77 vertical component =-7.77

vector = -7.77 i -7.77 j

Explanation:

We have given magnitude let V = 11

And angle
`\Theta =225`

For finding we take cos component of the magnitude

Horizontal component
`V_X=Vcos\Theta =11cos225^(\circ)=-7.77i`

For finding the vertical we take sine component of the magnitude

Vertical component
`V_Y=Vsin\Theta =11sin225^(\circ)=-7.77j`

So vector will be -7.77 i -7.77 j