Find the separation vector r from the source point (2,8,7) to the field point (4,6,8). Determine its magnitude (r), and construct the unit vector ˆr.

Respuesta :

Answer:

magnitude =3 unit vector [tex]\frac{2i-2j+k}{3}[/tex]

Step-by-step explanation:

We have given source point [tex](x_1,y_1,z_1)=(2,8,7)[/tex]

And the field point [tex](x_2,y_2,z_2)=(4,6,8)[/tex]

Resultant vector [tex]=(x_2-x_1)i+(y_2-y_1)j+(z_2-z_1)k=(4-2)i+(6-8)j+(8-7)k=2i-2j+k[/tex]

The resultant vector [tex]=2i-2j+k[/tex]

Magnitude of the vector [tex]=\sqrt{2^2+2^2+1^2}=3[/tex]

Now we have to find the unit vector

So unit vector [tex]=\frac{2i-2j+k}{3}[/tex]