Computer Science Vectors

In computer science vectors can be represented by which of the following?

• Dictionary

• Array

• Function

• Arrow

Which of these is a difference between an array and a vector?

• Array is static, vector is dynamic

• Array is dynamic, vector is static

• Array has dimension, vector doesn't

• Vector has dimension, array doesn't

Which of these is an advantage of representing a vector as a dictionary rather than an array?

• Can check spelling

• Values are in correct order

• Quicker to access particular values

• Allows more than one dimension

A vector is represented by the function F:S→R. If the function is 

 $x\ \rightarrow\frac{1}{x}$ 

what values can S take?

• Any non-zero real number

• Positive real numbers only

• Any real number

• Non-negative numbers only

Which of these is the vector {4, -1}?

• A

• B

• C

• D

a = {3, 5} and b = {-7, 2}. What is the resultant vector of a + b?

• {-10, 7}

• {4, 3}

• {10, -3}

• {-4, 7}

a = {3, -4}. a is multiplied by the scaler 5. What is the resultant vector?

• {15, -20}

• {8, 1}

• {6, -8}

• {12, -16}

b = {-6, 2} and s is a scalar. The resultant vector of sb is {12, -4}. What is the value of s?

• -2

• 2

• -3

• 3

If c = {5, 2} and d = {-1, 4} find c.d (dot product)

• 1

• 2

• 3

• 4

If c = {5, 2} and d = {-1, 4} find cosθ where θ is the angle between c and d.

• 0.5

• 35

• $\frac{3}{\sqrt{29}\sqrt{17}}$

• $\frac{5}{\sqrt{7}\sqrt{3}}$