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.
False.
equilibrant
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 .
False.
equilibrant
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.
90 degrees
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 .
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
vector equal in magnitude and opposite direction
Any other vector with with the same magnitude and the same direction.
by method of finding resultant
Distance traveled is equal to the magnitude of the displacement vector when the motion is in a straight line.
No, by definiton, a unit vector is a vector with a magnitude equal to unity.