Lesson J1-J2
J1-J2 Vectors in two and three dimensions; magnitude and direction Quiz: AQA Maths, Unit 10
20 questions
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Lesson J1-J2, Vectors in two and three dimensions; magnitude and direction: 20 multiple choice questions for the AQA Maths (7357), Unit 10: Vectors, written with Revision Ninja.
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The 20 questions
-
What is the magnitude of the 2D vector (a, b)?
- sqrt(a^2 + b^2)
- a^2 + b^2
- a + b
- sqrt(a + b)
-
For the vector (a, b), which expression gives tan(theta), where theta is the angle from the positive x-axis?
- a/b
- a + b
- b - a
- b/a
-
What is the magnitude of the 3D vector (a, b, c)?
- sqrt(a + b + c)
- a^2 + b^2 + c^2
- a + b + c
- sqrt(a^2 + b^2 + c^2)
-
What is the unit vector in the direction of a?
- a^2
- a|a|
- |a|/a
- a/|a|
-
What is the column vector form of 3i - 4j?
- (3, -4)
- (4, -3)
- (3, 4)
- (-4, 3)
-
What is the magnitude of the vector (3, 4)?
- 25
- 12
- 7
- 5
-
What is the direction of the vector (1, 1) measured anticlockwise from the positive x-axis?
- 90 degrees
- 45 degrees
- 30 degrees
- 60 degrees
-
Points A(1, 2) and B(4, 6) have position vectors OA and OB. What is the magnitude of AB?
- sqrt(7)
- 7
- 25
- 5
-
What is the magnitude of the 3D vector 2i - 2j + k?
- 3
- 9
- 5
- sqrt(5)
-
What is the angle of the vector (-1, sqrt(3)) measured anticlockwise from the positive x-axis?
- 300 degrees
- -60 degrees
- 60 degrees
- 120 degrees
-
A vector has magnitude 10 and makes an angle of 30 degrees with the positive x-axis. What are its components?
- (sqrt(3)/2, 1/2)
- (5 sqrt(3), 5)
- (10 sqrt(3), 10)
- (5, 5 sqrt(3))
-
What is the magnitude of the vector (6, -8)?
- 14
- 28
- 2
- 10
-
What is the unit vector in the direction of (3, 4)?
- (3, 4)/7
- (3/4, 4/3)
- (3/5, 4/5)
- (1/3, 1/4)
-
What is the direction of the vector (-3, -3) measured anticlockwise from the positive x-axis?
- 225 degrees
- 45 degrees
- 135 degrees
- 315 degrees
-
The vector (k, 2k) has magnitude 10 with k positive. What is k?
- sqrt(10)
- 4
- 2 sqrt(5)
- 5
-
What is the magnitude of the vector 4i + 4j + 7k?
- 15
- 7
- 9
- sqrt(65)
-
What angle does the vector (2, 1, 2) make with the positive x-axis, to 1 decimal place?
- 63.4 degrees
- 26.6 degrees
- 48.2 degrees
- 41.8 degrees
-
Vectors a = (1, 2) and b = (3, -1) are given. What is the magnitude of a + b?
- 5
- sqrt(17)
- sqrt(13)
- 3 sqrt(2)
-
What vector has length 15 in the same direction as (3, 4)?
- (7.5, 10)
- (12, 9)
- (3, 4)
- (9, 12)
-
Points A(1, 0, 2) and B(4, 4, -2) are given. What is the length of AB?
- sqrt(41)
- sqrt(33)
- 5
- 7
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