The magnitude of component of a vector must be

1- less than the magnitude of vector always

2-equal to magnitude of vector always

3- always greater than magnitude of vector

4-None of the above

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Solution

The component of a vector depends on the number of axes present in it. for eg: x and y axis or x, y, z axes. It has nothing to do with the magnitude. Thus, the correct answer is D, none of these.

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Similar questions

Read each statement below carefully and state with reasons, if it is true or false:

(a) The magnitude of a vector is always a scalar, (b) each component of a vector is always a scalar, (c) the total path length is always equal to the magnitude of the displacement vector of a particle. (d) the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time, (e) Three vectors not lying in a plane can never add up to give a null vector.

When two vectors $\to A$ and $\to B$ of magnitude $a$ and $b$ are added, the magnitude of the resultant vector is always

Q. When two vectors,

\to a

and

\to b

are added, the magnitude of the resultant vector is always

Q. The magnitude of the vector product of two vectors

\to A

and

\to B

may be

(a) Greater than AB
(b) Equal to AB
(c) less than AB
(d) equal to 0

Q. The magnitude of the vector product of two vectors

|\vec{A}|

and

|\vec{B}|

may be
(a) greater than AB
(b) equal to AB
(c) less than AB
(d) equal to zero.

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The magnitude of component of a vector must be 1- less than the magnitude of vector always 2-equal to magnitude of vector always 3- always greater than magnitude of vector 4-None of the above

The component of a vector depends on the number of axes present in it. for eg: x and y axis or x, y, z axes. It has nothing to do with the magnitude. Thus, the correct answer is D, none of these.

The magnitude of component of a vector must be

1- less than the magnitude of vector always

2-equal to magnitude of vector always

3- always greater than magnitude of vector

4-None of the above