The magnitude of component of a vector (projection) may be less than or equal to the magnitude of the vector itself which will depend on what you are taking the components along. The magnitude of the component may be equal to the magnitude of the vector if and only of the projection is taken along itself, otherwise it will always be less.
For instance, consider a vector 4i where i is a unit vector along he x axis. Now the magnitude of the component of this vector along the x axis is 4, same as that of the vector. Now, consider a vector 3i+4j, where i and j are unit vectors along x and y axis respectively, the magnitude of this vector is 5 but the magnitude of components of this vector are 3 and 4 along the x and y axis respectively.
Was this answer helpful?
6
Similar Questions
Q1
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
View Solution
Q2
The mass number of a nucleus is
(a) always less than its atomic number
(b) always more than its atomic number
(c) equal to its atomic number
(d) sometimes more than and sometimes equal to its atomic number.
View Solution
Q3
Assertion :In case of oscillatory motion the average speed for any time interval is always greater than or equal to its average velocity. Reason: Distance travelled by a particle cannot be less than its displacement.
View Solution
Q4
The magnitude of the vector product of two vectors and may be
(a) greater than AB
(b) equal to AB
(c) less than AB
(d) equal to zero.
View Solution
Q5
The magnitude of the vector product of two vectors →A and →B may be
(a) Greater than AB (b) Equal to AB (c) less than AB (d) equal to 0