Exercises for Question Type 2: Given 2 vectors, classifying what type of lines they are

Loading subject…

Exercises for Question Type 2: Given 2 vectors, classifying what type of lines they are - IB

Question 1

Classify the relationship between the lines L_{1} and L_{2} defined by: L_{1} : r = 000 + t 111 L_{2} : r = 123 + s 124

[6]

Question 2

Classify the relationship between the lines L_{1} : (1, 1, 1) + t (3, 6, 9) and L_{2} : (4, 7, 10) + s (1, 2, 3) .

[5]

Question 3

Classify the relationship between the lines L_{1} and L_{2} defined by: L_{1} : r = 111 + t 2 - 1 3 L_{2} : r = 304 + s - 1 2 - 2

[6]

Question 4

Classify the relationship between the lines L_{1} and L_{2} defined by: L_{1} : r = 000 + t 110 L_{2} : r = 011 + s 101

[7]

Question 5

Classify the relationship between the lines L_{1} and L_{2} defined by: L_{1} : r = 210 + t 420 L_{2} : r = 135 + s 210

[4]

Question 6

Classify the relationship between the lines L_{1} and L_{2} defined by: L_{1} : r = 123 + t 246 L_{2} : r = 010 + s 123

Classify the relationship between the lines.

[5]

Question 7

Classify the relationship between the lines L_{1} and L_{2} defined by: L_{1} : r = 2 - 1 3 + t 42 - 6 L_{2} : r = 61 - 3 + s 21 - 3

[5]

Question 8

Classify the relationship between the lines L_{1} and L_{2} defined by: L_{1} : r = 101 + t 234 L_{2} : r = 259 + s 468

[6]

Question 9

Classify the relationship between the lines L_{1} : r = 111 + t 123 and L_{2} : r = 503 + s 4 - 1 2 .

[7]

Question 10

Classify the relationship between the lines L_{1} : r = 123 + t 101 and L_{2} : r = 224 + s 01 - 1 .

[6]

Question 11

Classify the relationship between the lines L_{1} and L_{2} defined by: L_{1} : r = 301 + t 112 L_{2} : r = 123 + s 2 - 1 1

[6]

Question 12

Classify the relationship between the lines L_{1} and L_{2} defined by: L_{1} : r = 012 + t 3 - 1 2 L_{2} : r = 6 - 1 6 + s 3 - 1 2

[5]

IB Mathematics Analysis and Approaches Question Type 2: Given 2 Vectors, Classifying What Type of Lines They Are Exercises