Components of a vector

The component of a vector is

The component of a vector may be

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

Components of vector along and perpendicular a vector

The component of a vector vecA along y-axis will have maximum value if

The component of a vector r along X-axis will have maximum value if

If the x component of a vector veca, in the xy plane, is half as large as the magnitude of the vector, find the tangent of the angle between the vector and the x axis.

x- component of a vector vecA is twice of its y-component and sqrt(2) times of its z-component. Find out the angle made by the vector from y-axis.

For component of a vector A=(3hati+4hatj-5hatk) , match the following table

Components of vector joining two point in 2 and 3 dimensional plane