At an intersection, a 1500 kg car traveling east at 25 m/s collides with a 2500 kg van traveling north at 20 m/s. Find the direction and magnitude of the velocity of the wreckage immediately after the collision, assuming that the vehicles undergo a perfectly inelastic collision (that is, they stick together)

Explanation:

Mass of the car, m = 1500 kg

Initial speed of the car, u = 25 m/s east

Mass of the van, m' = 2500 kg

Initial speed of van, u' = 20 m/s north

It is assumed that the vehicles undergo a perfectly inelastic collision. The law of conservation of linear momentum gives the velocity after the collision as :

Magnitude of velocity,

Direction,

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.