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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equilibrant
False.
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.
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.
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .