###### Asked in Math and ArithmeticPhysicsAlgebra

Math and Arithmetic

Physics

Algebra

# Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?

## Answer

###### Wiki User

###### July 13, 2009 3:44PM

The zero vector is both parallel and perpendicular to any other vector.

V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.

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Zero vector or null vector is a vector which has zero magnitude
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It is important to note that we cannot take the above result to
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The velocity vector of a stationary body is a zero vector.
The acceleration vector of a body in uniform motion is a zero
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Huh?
I have been kicking around your question in my mind for five
minutes trying to figure out an answer or a way to edit your
question into an unambiguous form, but I'm stumped.
I don't know what you mean by "zero component along a line."
If you look at the representation of a vector on paper using a
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axes -- the orthogonal components of the vector are the projections
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But a vector must have magnitude AND direction. And if it has
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Still trying to make heads or tails out of your
question.......
If you draw a random vector on a Cartesian grid, it will have an
x component and a y component, which are both projections of the
original vector upon the axes. However, it could also be
represented by projecting it onto a new set of orthogonal axes --
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that case, the x' component will have a magnitude equal to the
magnitude of the original vector -- in other words, a non-zero
value along a line parallel to the x' axis -- and a zero magnitude
in the y' direction.

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