Physics - Vectors Question with Solution | TestHub

$\text{w}={\int }_a^b{\text{f}}_{\text{x}}\text{dx}+\underset{\text{b}}{\overset{\text{e}}{\int }}{\text{f}}_{\text{y}}\text{dy}+\underset{\text{c}}{\overset{\text{f}}{\int }}{\text{f}}_{\text{z}}\text{dz}$

Now$\underset{\text{a}}{\overset{\text{d}}{\int }}{\text{f}}_{\text{x}}\text{dx}$is positive since${\text{f}}_{\text{x}}>0$and d > a

$\underset{\text{b}}{\overset{\text{e}}{\int }}{\text{f}}_{\text{y}}\text{dy}$in negative since${\text{f}}_{\text{y}}>0; \text{e}<\text{b}$

$\underset{\text{c}}{\overset{\text{f}}{\int }}{\text{f}}_{\text{z}}\text{dz}$is negative${\text{f}}_{\text{z}}<0\text{; }\text{f}>\text{c}$

$\therefore \text{w}={\text{A}}_1-{\text{A}}_2-{\text{A}}_3$