The axis of a circular cylinder coincides with the z -axis and it rotates with an angular velocity of (3 i −5 j +9 k ) rad/s. Determine the tangential velocity at a point P on the cylinder, whose...

The axis of a circular cylinder coincides with the
z-axis and it rotates with an angular velocity of
(3
i−5j
+9k
)
rad/s. Determine

1. the tangential velocity at a point
   P
   on the cylinder,

whose co-ordinates are
(

j
+5k
)
metres,

1. the magnitude of the tangential velocity

iii. Derive the electromagnetic wave equation considering a region with no charges and currents, such as in a vacuum.