Can three vectors of unequal magnitude sum to zero


Asked by admin @ in Physics viewed by 284 People


Can two vectors of unequal magnitude add up to give the zero vector? Can three unequal vectors add up to give the zero vector?

Answered by admin @



Hii dear,

# Answers-
a) No.
Two vectors of unequal magnitude can never add up to give zero vector.

b) Yes.
Three(or more) vectors of unequal magnitude may add up to give zero vector.

For example, take 3 unequal vectors,
A = i+j-k
B = i-j+k
C = -i+j+k
Adding these three,
A + B + C = i+j-k+i-j+k-i+j+k
A + B + C = 0.

Hope that cleared your doubt.

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