What is the Net Electric Field Vector at a Point Due to Two Charges?

[perfection256]

Homework Statement

Two equal charges +6 μC are placed, one at <−1, 0, 0>m and the other at <5, 0, 0> m. What is the net electric
field vector at the location A which is at <0, 0, 0>m? Show your work.

Homework Equations

E=KQ/|r|^2 * |r|

The Attempt at a Solution

r1=<0,0,0>-<-1,0,0>=<1,0,0>

E1= k*(6x10^-9)/1 * <1,0,0>= <54,0,0>

r2= <0,0,0>-<5,0,0>= <-5,0,0>

E2= k*(6x10^-9)/(5^2) * <10.8/25,0,0>= <.93312,0,0>

E1+E2=ENet

Enet= <54,0,0>+<.93312,0,0>=

<54.93312,0,0>

 

[Doc Al]

Homework Equations

E=KQ/|r|^2 * |r|

This should be:

E=KQ/|r|^2 * \hat r

The Attempt at a Solution

r1=<0,0,0>-<-1,0,0>=<1,0,0>

E1= k*(6x10^-9)/1 * <1,0,0>= <54,0,0>

OK.

r2= <0,0,0>-<5,0,0>= <-5,0,0>

E2= k*(6x10^-9)/(5^2) * <10.8/25,0,0>= <.93312,0,0>

Recalculate E2.

 

[perfection256]

Thanks Doc Al!