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In a triangle ABC, if taken in order, co...

In a triangle ABC, if taken in order, consider the following statements:
1.`vec(AB)+vec(BC)+vec(CA)=vec(0)`
2. `vec(AB)+vec(BC)-vec(CA)=vec(0)`
3. `vec(AB)-vec(BC)+vec(CA)=vec(0)`
4. `vec(BA)-vec(BC)+vec(CA)=vec(0)`
How many of the above statements are correct?

A

One

B

Two

C

Three

D

Four

Text Solution

Verified by Experts

The correct Answer is:
A
From triangle law of vector addition
`vec(AB)+vec(BC)+vec(CA)=0`
Only statement (1) is correct.
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