contestada

If a point is positioned 16 inches from the origin on the x-y plane, and it is 12 inches above the x axis, what is its position in terms of the unit vectors i and j?

Respuesta :

Answer:

[tex]p=12\hat{i}+10.58\hat{j}[/tex]

Explanation:

distance of point from the origin is 16 inch

x-axis distance =12 inch

[tex]p=\sqrt{x^2+y^2[/tex]

[tex]y=\sqrt{p^2-x^2} \\y=\sqrt{16^2-12^2}\\ y=\sqrt{112}[/tex]

y=10.58 inch

[tex]p=12\hat{i}+10.58\hat{j}[/tex]