Determining resultant force direction when x-component is positive

[foo9008]

Homework Statement

i am confused about the direction of resultant force . in the working ,it's clear that the author taking to the right as positive ,
for the force component along x-axis , we have -Fx , but , in the calclulation , we gt positive 32230N , so the resultant force of x-component is to the left(32230N ) , am i correct ?

Homework Equations

The Attempt at a Solution

 

[Chestermiller]

The author is taking F_x to be positive if the force is pointing is the negative x direction.

 

[foo9008]

The author is taking F_x to be positive if the force is pointing is the negative x direction.

ia my idea correct / the resultant force act to the left ?

 

[Chestermiller]

what do you mean ?

In vector terms, the x component of the force $\vec{F}$ is taken to be $-F_x\vec{i}_x$, where $\vec{i}_x$ is the unit vector in the positive x direction.

 

[foo9008]

In vector terms, the x component of the force $\vec{F}$ is taken to be $-F_x\vec{i}_x$, where $\vec{i}_x$ is the unit vector in the positive x direction.

is my idea correct ? the resultant force act to the left ?

 

[Chestermiller]

is my idea correct ? the resultant force act to the left ?

Yes. It is positive to the left.