1) What is the absolute value (distance from the origin in the complex plane) for the complex number:    -3 - 5i

Initialize the value of 'abs' below.

2) Evaluate:      (3 + 8i) + (-4 + 2i)

Appropriately initialize values for 'sumReal' and 'sumImag' that represent the real and imaginary parts for the sum below.

3) Evaluate:      (3 - 6i) - (2 - 5i)

Appropriately initialize values for 'difReal' and 'difImag' that represent the real and imaginary parts for the difference below.

4) Evaluate:      (3 + 6i) (4 - 5i)

Appropriately initialize values for 'prodReal' and 'prodImag' that represent the real and imaginary parts for the product below.

5) For the quotient below, appropriately initialize the values for 'quoReal' and 'quoImag'.  

6) What is the magnitude and direction of the vector <-5, 12>?

Initialize the values of 'mag' and 'dir' below.

Note: Enter the direction in degrees from [0, 360)

7) What is the sum of the vectors <3, -5> and <-2, 7>?

Initialize the values of 'sumX' and 'sumY' below.

8) A vector has initial point (3, 4) and terminal point (5, 1).

A bound vector is a vector whose initial point is (0, 0).  

What is the x and y component of the equivalent vector expressed as a bound vector?  

What is the magnitude and direction and vector?

Initialize the values of 'x', 'y', mag', 'dir' below.

Note: The direction, 'dir', should be expressed in degrees from [0, 360)

9) A unit vector is a vector of magnitude 1.  Compute the components of a unit vector that has the same direction as the vector <-6, -8>

Initialize the values 'x' and 'y' below.

10) A vector V has magnitude 8 and direction 35 degrees.  State V in component form: <x, y>

Initialize the value of 'x' and 'y' below.

11) Vector A has magnitude 10 mph with direction 110 degrees.

       Vector B has magnitude 20 mph with direction 190 degrees.

If both of these forces are acting on an object, what is the magnitude and direction of the resultant force?

Initialize 'resultMag' and 'resultDir' below.

Note: the direction of the resultant, 'resultDir', should be expresse in degrees from [0, 360)