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Fill in the blank
The null vector plays a crucial role in vector spaces as the____.
Identity element for addition.
Identity element for multiplication.
Inverse element for subtraction.
Complete:
Null vector is also known as_____.
Zero vector.
Unit vector.
Anti parallel vector
What is the sum of the null vector and any non-zero vector?
The non-zero vector itself.
A unit vector.
What is the direction of the null vector?
North.
South.
It has no specific direction.
Find the result when the null vector subtracted from any vector?
The null vector.
The original vector.
How does the null vector behave under scalar multiplication?
It remains unchanged.
It becomes infinite.
It becomes a unit vector.
How we denote the null vector in two-dimensional space?
0
(0,0)(0,0)(0,0)
(0,0,0)(0,0,0)(0,0,0)
Find the result of addition of two null vectors.
The null vector is represented by a vector with components_____.
All zeros.
All ones.
Positive integers.
What is the magnitude of the null vector?
1
Undefined.
It is done.