A Gaussian beam from a frequency-doubled Nd:YAG laser, with wavelength 532 nm, is measured to have a beam radius of 1.5 mm and 2.5 mm at two points separated by a distance of 1.0 m.

What is the location of the beam waist relative to the 1.6 mm measurement point? Express your answer as a positive distance in units of meters with two significant figures.

you have to draw the persons position over there

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.

at positions a, g kinetic energy is maximum.

at position d, potential energy is maximum.

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it