Given r1 = 3i - 2j + k, r2 = 2i - 4j - 3k, r3 = -I + 2j + 2k, find the magnitudes of (a)r3.

(b)r1 + r2 + r3.

(c)2r1 - 3r2 - 5r3

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Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. each step is of uniform height . the mass of each object is a multiple of the base mass : object 1 has mass 4..00m , object 2 has mass 1..96m , and object 3 has mass . when the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. if the objects are then relocated as shown, what is the new total potential energy of the system? each answer requires the numerical coefficient to an algebraic expression. each algebraic expression is given using some combination of the variables , , and , where is the acceleration due to gravity. enter only the numerical coefficient. (example: if the answer is 1..23mgd , just enter 1.23)

Examine the nuclear reacti why is this classified as a nuclear reaction rather than a chemical reaction? it is not balanced. a new compound is formed. a change has occurred in a nucleus. a new element has been formed.

In which type of system is power held solely by the central government and not shared with regional governments? group of answer choices federal unitary confederate oligarchic