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The modulus of a vector is its absolute value. It is the [positive] size or magnitude of the vector, ignoring its direction.
In two dimensional space, and using Pythagoras,
the modulus of the vector (x,y) is sqrt(x^2 + y^2)
In 3-dimensional space, the modulus of the vector (x, y, z) is sqrt(x^2 + y^2 + z^2)
The concept can be extended to higher dimensions analogously.
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What is the vector equal but opposite to the resultant vector?
equilibrant
If all the components of a vector are equal to 1 then that vector is a unit vector?
False.
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?
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.
Can the magnitude of a vector be equal to one of its components?
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
When will be the vector projection and vector components are same?
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
