Lesson 1.10a
1.10a Vectors in two and three dimensions Quiz: OCR Maths, Unit 10
20 questions
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Lesson 1.10a, Vectors in two and three dimensions: 20 multiple choice questions for the OCR Maths (H240), Unit 10: Vectors, written with Revision Ninja.
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The 20 questions
-
Write the vector from the origin to the point (3, -1) in i, j form.
- 3i - j
- 3i + j
- 3j - i
- -3i + j
-
Write 2i - 5j + 4k as a column vector.
- (-2, 5, -4)
- (2, -5, 4)
- (2, 4, -5)
- (-5, 2, 4)
-
Which property distinguishes a scalar quantity from a vector quantity?
- Direction only
- Position vector only
- Magnitude and direction
- Magnitude only
-
Which of these is a vector quantity?
- Velocity
- Speed
- Time
- Mass
-
In vector notation, what does the vector AB represent?
- Displacement from A to B
- Displacement from B to A
- Line segment length
- Distance between points
-
Which column vector equals i + j + k?
- (1, 1, 1)
- (0, 1, 1)
- (1, 2, 3)
- (1, 1, 0)
-
In three-dimensional Cartesian vectors, which axis corresponds to the unit vector k?
- z-axis
- x-axis
- y-axis
- Origin
-
For A(1, 2, 3) and B(4, 0, 5), what is the vector AB in column form?
- (3, 2, 2)
- (5, 2, 8)
- (3, -2, 2)
- (-3, 2, -2)
-
What is the magnitude of the vector 3i - 4j?
- 5
- 1
- sqrt(7)
- 7
-
What is the direction of the vector (1, sqrt(3)) measured from the positive x-axis?
- 45 degrees
- 120 degrees
- 60 degrees
- 30 degrees
-
What is the magnitude of 2i + 3j - 6k?
- 11
- 5
- 7
- sqrt(11)
-
For the vector (6, 8), what is the direction measured from the positive x-axis to 1 decimal place?
- 36.9 degrees
- 45.0 degrees
- 53.1 degrees
- 63.4 degrees
-
Simplify 3(2i - j).
- 6i - 3j
- 6i + 3j
- 5i - 4j
- 2i - 3j
-
What is the unit vector in the direction of 3i + 4j?
- 3i + 4j
- (3/5)i + (4/5)j
- (1/3)i + (1/4)j
- (3/7)i + (4/7)j
-
What is the magnitude of 4i - 2j + 4k?
- 6
- 4
- 8
- sqrt(24)
-
What is the magnitude of a + b where a = i - 2j + k and b = 2i + j - k?
- sqrt(18)
- sqrt(10)
- sqrt(8)
- sqrt(12)
-
A vector 2i + pj has magnitude 5 and p > 0. What is p?
- sqrt(29)
- 3
- sqrt(21)
- 21
-
What is the magnitude of AB for A(2, -1) and B(-3, 5)?
- sqrt(61)
- sqrt(29)
- sqrt(11)
- 11
-
How are the vectors 2i - 6j and -i + 3j related?
- Parallel, same direction
- Parallel, opposite directions
- Equal in magnitude
- Perpendicular
-
For a = 3i - j and b = i + 2j, what is 2a - b?
- 5i + 4j
- 5i - 2j
- 7i - 4j
- 5i - 4j
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