Does the direction of null vector matter?

No, the direction of null vector is immaterial.
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Give one example of zero vector.

The difference of two equal vectors is a null vector.
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If one of the rectangular components of a vector of magnitude 50 has magnitude 30, then what is the magnitude of other rectangular component of the vector?

Given, magnitude of vectors are 50 and 30.

Therefore, magnitude of the rectangular component =  

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What is position vector of origin?


The position vector of origin is called as the zero vector. The magnitude of this vector will be zero. 
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What is null or zero vector?

A vector of zero magnitude is called null vector.
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