Mathematics for IGCSE & O level - Vectors (Section 6)

• 1

  If AB = [3, -1], what is the vector BA?

  Răspuns

  (B)

  [-3, 1]
• 2

  If vector 'a' is [2, 1] and a is multiplied by a scalar 3, what is the result?

  Răspuns

  (A)

  [6, 3]
• 3

  If a force is represented by a vector, what aspects does the vector specify about the force?

  Răspuns

  A

  C
• 4

  Which is a characteristic of a parallelogram, given vectors?

  Răspuns

  A

  C

  D
• 5

  If a translation is defined by the vector [2, -3], how does it affect the x and y coordinates of a point?

  Răspuns

  (A)

  Adds 2 to the x-coordinate and subtracts 3 from the y-coordinate.
• 6

  Which of the following transformations can be represented by a vector?

  Răspuns

  (C)

  Translation
• 7

  Which is true if AB = -CD?

  Răspuns

  (C)

  AB is in the opposite direction as CD and has the same length.
• 8

  If vector a = [1, 4] and vector b = [2, -1], what is a - b?

  Răspuns

  (C)

  [-1, 3]
• 9

  A vector that starts at the origin is often referred to as a ______ vector.

  Răspuns

  (B)

  Position
• 10

  In a triangle with vertices A, B, and C, and given AB = a and BC = b, which of the following expresses the vector AC?

  Răspuns

  (C)

  a + b
• 11

  Which of the following statements about vector AB is true?

  Răspuns

  (A)

  It has both magnitude and direction.
• 12

  How do you find the column vector that represents the movement from (x1, y1) to (x2, y2)?

  Răspuns

  (A)

  Subtract (x1, y1) from (x2, y2)
• 13

  What is the geometric interpretation of -v, given a vector v?

  Răspuns

  (A)

  A vector with the same magnitude but opposite direction.
• 14

  If vector v = [-3, -4], what is the magnitude of v?

  Răspuns

  (B)

  5
• 15

  Given vector a = [x, y], and scalar k, which of the following statements are true regarding ka?

  Răspuns

  A

  C
• 16

  If a = [1, -1] and b = [2, 3], what is a - b?

  Răspuns

  (A)

  [-1, -4]
• 17

  In a coordinate plane, a vector is defined by its _____.

  Răspuns

  (D)

  All of the above
• 18

  Which of the following is a correct representation of vector PQ?

  Răspuns

  (A)

  PQ
• 19

  The x-component of the vector [5, -3] is _____ and the y-component is ____.

  Răspuns

  (C)

  5, -3
• 20

  If vector a = [x, y], what is -1 * a?

  Răspuns

  (B)

  [-x, -y]
• 21

  Which of these is the correct way to represent vector AB?

  Răspuns

  (B)

  AB
• 22

  In a parallelogram, what is the relationship between the vectors representing opposite sides?

  Răspuns

  (B)

  They are equal in magnitude and in the same direction.
• 23

  When are two vectors considered equal?

  Răspuns

  (C)

  When they have the same magnitude and the same direction.
• 24

  What type of vector is used to describe a position of a point relative to a reference point?

  Răspuns

  (A)

  Position vector
• 25

  If A is the point (1, 0) and B is the point (0, 1), what is the magnitude of the vector AB?

  Răspuns

  (B)

  √2
• 26

  If a = [1, 2] and b = [3, 4], what is 2a + b?

  Răspuns

  (C)

  [5, 6]
• 27

  If vector a = [2, 3] and scalar k = 2, what is ka?

  Răspuns

  (A)

  [4, 6]
• 28

  Which of the following is true regarding two vectors that are parallel?

  Răspuns

  C

  D
• 29

  What does the vector [3, -2] mean in terms of movement in a coordinate plane?

  Răspuns

  (C)

  Move 3 units right, 2 units down.