Define the following terms null vector, unit vector, free vector?
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Answer:
Null vector: A null vector is a vector that has magnitude equal to zero and is directionless. It is the resultant of two or more equal vectors that are acting opposite to each other. A most common example of null vector is pulling a rope from both the end with equal forces at opposite direction.
Unit Vector: A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude of 1 is a unit vector. It is also known as Direction Vector..
Free vector:A vector of which only the magnitude and direction are specified, not the position or line of action.
Answer:
In mathematics, given a vector space X with an associated quadratic form q, written (X, q), a null vector or isotropic vector is a non-zero element x of X for which q(x) = 0
A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude of 1 is a unit vector. It is also known as Direction Vector.
Free vector : It is a vector, whose action is not confined to or associated with a unique line in space. Only, the direction and magnitude of the vector remains fixed.