For a vector to be zero, each individual component must be zero. PLease Explain.

Asked by somyap | 10th Jul, 2011, 12:00: AM

Expert Answer:

Suppose a vector  has components x, y and z along X, Y and Z axis respectively.
Magnitude of is given as 
 
For to be a zero vector, its magnitude must be zero.
 
In equation (1), R will be zero only if each of the components x, y and z are zero seperately.
 
i.e.  R=0
=>  x=y=z=0

Answered by  | 10th Jul, 2011, 11:30: AM

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