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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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If all the components of a vector are equal to 1 then that vector is a unit vector?
False.
What is the vector equal but opposite to the resultant vector?
equilibrant
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 .
If all the components of a vector are equal to 1 then that vector is a unit vector?
False.
What is the vector equal but opposite to the resultant vector?
equilibrant
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.
What is the angle between vector a and vector b when mode of vector a plus vector b is equal to mode of vector a minus vector b?
90 degrees
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 .
How the magnitude of vector is equal to 1?
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
What does a vector equal?
Any other vector with with the same magnitude and the same direction.
Define the angle of the equilibrant vector?
vector equal in magnitude and opposite direction
How will you get the third vector if the 1st and 2nd vector was given and the resultant vector is equal to 0?
by method of finding resultant
When does distance traveled equal the magnitude of displacement vector?
Distance traveled is equal to the magnitude of the displacement vector when the motion is in a straight line.
Can a unit vector have any components with magnitude greater than unity?
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
