Can any of the components of a given vector have greater magnitude than that of the vector itself ?

Components of a vector

The component of a vector is

Component of vector

Can a rectangular component of a vector be greater than the vector itself ?

Can the magnitude of the reultant vector of two given vectros be less than the magitude of any of the given vector ?

Write two different vectors having same magnitude.

Write two different vectors having same magnitude.

Write two different vectors having same magnitude.

The x - component of the resultant of several vectors (i) is equal to the sum of the x -components of the vectors (ii) may be smaller than the sum of the magnitudes of the vectors (iii) may be greater than the sum of the magnitudes of the vectors (iv) may be equal to the sum of the magnitudes of the vectors

The magnitude of the x-component of vector vec(A) is 3 and the magnitude of vector vec(A) is 5. What is the magnitude of the y-component of vector vec(A) ?