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12 - Vector

 1. A vector, in computing, is generally a _________. typically storing numbers.

  two dimensional stack

  one dimensional array

  one dimensional linked list

  three dimensional array

 2. Vectors typically have ______ unlike lists and queues.

  fixed sizes

  sizes of no more than 8 bits

  sizes of no more than 2 bits for efficiency

  variable sizes

 3. The vector data structure can be used to represent the mathematical vector used in linear algebra 
 Vectors are often used in computing in computer graphics and simulating physical systems.

  FALSE

  TRUE

 4. The following shows how a simple vector could be represented as a _______________ 
R = (X, Y )

  A list

  An arrow

  A function

  A linked list

 5. The following image demonstrates how a simple vector could be represented as _________________
arrowvector.png

  A function

  A list

  A linked list

  An arrow

 6. The following shows how you could represent a simple vector as a function. 
F  :   S ---> R

  TRUE

  FALSE

 7. Which of the following statements best describes what is happening in the following code: 
{0: Val1, 1: Val2, 2: Val3, 3: Val4...}

  A vector is being used to represent a hash table's keys

  A vector is being used to represent a linked list

  A list is being used to represent a vector

  A dictionary structure is being used to represent a vector

 8. What is the following visualisation showing? 
Note: the visualisation also shows the effect that is had upon the vector
vectorvisualisation.png

  This is showing how to create triangles and different shapes from vectors

  It is showing how to cut a vector in half - this is useful in game design

  The visualisation is depicting the multiplication of the sides of a vector

  Two right angle triangles with components added together - shows how you can add two vectors together

 9. A scalar is a value by which you __________________

  increment the value of the adjacent vectors

  multiply a vector.

  subtract one vector from another

  add two vectors together

 10. A scalar represents the scale by which you want to increase or decrease the vector.

  FALSE

  TRUE

 11. What is the following excerpt showing/demonstrating: 
Multiplying two vectors together to produce 
another vector. 

For example: A =
(3,5) and B= (7,2)
Therefore the new vector will be

>> 3 x 7 + 5 x 2 = 31.

  The dot product of two vectors

  The sum + 1 of two vectors

  The beta product of two vectors

  The result when one vector is scaled to the given size (e.g. 3,5)

 12. Read the following excerpt on convex combination and decide which of the statements provided are true. 
Convex combination of vectors? 

===============================

A method of multiplying vectors that would
then produce the resulting vector within the 
convex hull - This is a spatial representation 
of the  vector space between two vectors. 

Mathematically speaking: to perform what is known
as a convex combination, you will be multiplying
one vector either by a scalar, or by another vector. 

This could be represented as: 


D = ?AB + ?AC 


Which of the following statements are true?
============================================

1. A and A are the two vectors

2. ? and ? represent the real number that each 
vector will be multiplied by

3. ? and ? must both be greater than or equal 
to 0 and ? + ? must equal 1.

4. D will then fall within the vector space.


5. AB and AC are the two vectors

6. ? and ? represent the two vectors

  The statements 2,3,4,5 are all true (1 and 6 are not)

  All of the statements are true

  The statements 2,4,6 are true - the rest are not

  Only 1, 2 and 5 are true

 13. A vector quantity has both direction and ________________

  quantity (no of elements inside it)

  pixels (resolution depth)

  magnitude (size).

  colour (scalar depth)

 14. A negative vector has the same magnitude as well as the exact same direction

  TRUE

  FALSE

 15. Vectors can be multiplied by a scalar which changes the size of the vector _________________

  as well as the direction

  but not the direction.

  as well as both the shape and direction

  as well as the colour and resolution


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