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Give a condition that three vectors ...

Give a condition that three vectors ` vec a , vec b` and ` vec c` from the three sides of a triangle. What are the other possibilities?

Text Solution

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The correct Answer is:
`vec(a)+vec(b)+vec(c )=vec(0)`. Other possibilities are ; `vec(a)=vec(b)+vec(c ), vec(b)=vec(a)+vec(c )` and `vec(c )=vec(a)+vec(b)`.
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Knowledge Check

  • If vec(A), vec(B) and vec(C ) are three vectors, then the wrong relation is :

    A
    `vec(A) + (vec(B) + vec(C )) = (vec(A) + vec(B)) + vec(C )`
    B
    `vec(A).(vec(B) + vec(C )) = (vec(A).vec(B)) + vec(A).vec(C )`
    C
    `vec(A) xx (vec(B) + vec(C )) = vec(A) xx vec(B) + vec(A) xx vec(C )`
    D
    `(vec(A) xx vec(B)) . vec(C ) = vec(A) xx vec(B). vec(C )`

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