Question

If $\overrightarrow{C}=\overrightarrow{A}+\overrightarrow{B},$Can $C>A+B?$For each, show how or explain why not

Short answer

$C$can be equal to $A+B$But $C$ cannot be greater than$A+B.$

Step-by-step solution

Step 1. Given information

It is given that $\overrightarrow{C}=\overrightarrow{A}+\overrightarrow{B}.$We need to write can $C=A+B$and $C>A+B.$If yes we need to show how or if not then we need to explain why not.

Step 2. Explanation

In general, the three vectors $\overrightarrow{A},\overrightarrow{B},and,\left(\overrightarrow{A}+\overrightarrow{B}\right)=\overrightarrow{C}$form. Since the basic triangle property states that the sum of any two sides is greater than the third.

But $C=A+B$in case $\overrightarrow{A},\overrightarrow{B}$are in the same position.