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9.28 Implement a norm function for the Vector class (Problem 9.14). If v.norm() would return the square root of V*V (see Problem 9.27).
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9.29 Modify the Vector class (Problem 9.14) so that its objects are all three-dimensional (physi-
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cal) vectors with subscripts ranging from 1 to 3. Include vector addition (Problem 9.24), vector subtraction (Problem 9.25), scalar multiplication (Problem 9.26), the inner product (Problem 9.27), the norm function (Problem 9.28), and a cross-product function: v x w = (v2w3 - v3w2, v3w1- VlW3, VlW.2 - v2w1)
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9.30 Implement an overloaded assignment operator = for the Time class (see Problem 8.19). 9.31 Implement overloaded stream insertion operator < < the Time class (see Problem 8.19).
and I stream extraction operator >> for
9.32 Implement overloaded pre-increment operator ++ and pre-decrement operator - - for the Time class (see Problem 8.19), where increment means to add one second. 9.33 Implement an overloaded operator + = for the Time class (see Problem 8.19) that adds one
time to another.
9.34 Implement an overloaded assignment operator = for the point class (see Problem 8.17). 9.35 Implement overloaded stream insertion operator < < the point class (see Problem 8.17).
and stream extraction operator >> for class (see Problem
9.36 Implement overloaded comparison operators = = and ! = for the point
8.17).
9.37 Implement overloaded addition operator + and subtraction operator - for the point class
(see Problem 8.17).
9.38 Implement an overloaded multiplication operator * to return the dot product of two point
objects (see Problem 8.55).
9.39 Implement an overloaded bitwise AND operator 6~ to return the cross product of two point
objects (see Problem 8.55).
9.40 Implement a conversion operator that converts a point object (see Problem 8.17) into a Vet tor object (see Problem 9.14). 9.41 Implement a conversion operator that converts a Vet tor object (see Problem 9.14) into a point object (see Problem 8.17). 9.42 Implement an overloaded assignment operator = for the person class (see Problem 8.21). 9.43 Implement overloaded stream insertion operator < < the person class (see Problem 8.21).
and stream extraction operator >> for
9.44 Implement overloaded comparison operators == and ! = for the person class (see Problem
8.21).
9.45 Implement an overloaded assignment operator = for the Mat&x
class (see Problem 8.23).
9.46 Implement overloaded stream insertion operator < < and stream extraction operator X= for the Matrix class (see Problem 8.23). 9.47 Implement overloaded comparison operators = = and ! = for the Matrix class (see Problem
8.23).
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9.48 Implement overloaded addition operator + and subtraction operator - for the Matrix class
(see Problem 8.23).
9.49 Implement a conversion operator that converts a Matrix
object (see Problem 8.23) into a
tor object (see Problem 9.14).
9.50 Implement a conversion operator that converts a Vet tor object (see Problem 9.14) into a
Matrix object (see Problem 8.23).
1 9.51 Implement an overloaded assignment operator = for the Date class (see Problem 8.38).
9.52 Implement overloaded stream insertion operator << and stream extraction operator >> for
the Date class (see Problem 8.38).
9.53 Implement overloaded pre-increment operator ++ and pre-decrement operator -- for the Date class (see Problem 8.38), where increment means to add one day. / 9.54 Implement an overloaded operator + = for the Date class (see Problem 8.38) that adds one date to another. 9.55 Implement overloaded stream insertion operator << and stream extraction operator >> for the Address class (see Problem 8.45). Include user prompts for the input.
9.56 Implement overloaded stream insertion operator < <
and stream extraction operator >> for the Computer class (see Problem 8.48). Include user prompts for the input.
9.57 Implement an overloaded assignment operator = for the Complex class (see Problem 8.53). 9.58 Implement overloaded stream insertion operator << and stream extraction operator >> for the Complex class (see Problem 8.53).
9.59 Implement overloaded comparison operators = = and ! = for the CornpI
ex class (see Prob-
lem 8.53).
Implement overloaded addition operator + and subtraction operator - for the Complex class (see Problem 8.54). and division operator / for the Complex
9.61 Implement overloaded multiplication operator *
class (see Problem 8.54).
9.62 Overload the NOT operator !
to return the norm for the Complex class (see Problem 8.53). The norm of a complex number is the square root of the sum of the squares of its real and imaginary parts. So if z represents the complex number 3 - 4i, then ! z would return 5. Note that this is a unary operator. to return the conjugate for the CornpI ex class (see Problem 8.53). The conjugate of a complex number is the same complex number except with the sign of its imaginary part reversed. So if z represents the complex number 3 - 4i, then -Z would return the Complex object that represents 3 + 4i. Note that this is a unary operator.
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