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Let vec(v1) , vec(v2) , vec(v3), vec(v4...

Let ` vec(v_1) , vec(v_2) , vec(v_3), vec(v_4)` be unit vectors in the xy-plane, one each in the interior of the four quadrants. Which of the following statements is necessarily ture. ?

A

`vec(V)_(1) + vec(V)_(2)+ vec(V)_(3)+ vec(V)_(4)=0`

B

There exist I,j with `1 le i lt j le 4 and vec(V)_(i) + vec(V)_(j)` in the first quadrant

C

There exist i,j with `1 le I lt j le 4 " such " vec(V)_(i), vec(V)_(j) lt 0`

D

There exist I,j with `1 le I lt j le 4 " such " vec(V)_(1), vec(V)_(j) gt 0`

Text Solution

Verified by Experts

The correct Answer is:
A
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