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91Ó°ÊÓ

Use the figure at the right. Determine whether the given statement is true or false.

C=D-E+F

Short Answer

Expert verified

The given statement is False.

Step by step solution

01

Step 1. Given Information 

We are given a statement C=D-E+Fand we need to find if the statement is true or false.

02

Step 2. Proving the statement 

D-Eimplies subtraction of two vectors.

So the terminal point of the vector Dis joined with the terminal point of the vector Eforming vector D-E.

The vector role="math" localid="1646710367263" F-Eimplies subtraction of two vectors.

So the initial point of the vector Eis joined with the initial point of the vector Fforming vector F-E.

Again, the initial point of vector Ccoincides with the terminal point of vector Fand the terminal point of vector Ccoincides with the initial point of vector D.

∴D-E+F=-C

Therefore, the given statement C=D-E+Fis false.

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