Vector Quiz Questions And Answers
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Let us find out how much you know or understand through these vector quiz questions and answers. Vector is an element of vector space in math and physics. There are many other names that vector has been given. In this quiz, we will be testing your knowledge as well as you will get to learn some more with this interesting quiz. Best of luck to you, and also have fun!
Questions and Answers
- 1.
Which of these expresses a vector quantity?
- A.
10kg
- B.
10kg to the north
- C.
10 m/s
- D.
10 m/s to the east
Correct Answer
D. 10 m/s to the eastExplanation
The answer "10 m/s to the east" expresses a vector quantity because it includes both magnitude (10 m/s) and direction (to the east). A vector quantity represents a physical quantity that has both magnitude and direction, such as velocity or force. In this case, the answer specifies a speed of 10 m/s and the direction of motion, which makes it a vector quantity.Rate this question:
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- 2.
Which one of the following is an example of a vector quantity?
- A.
Area
- B.
Mass
- C.
Velocity
- D.
Distance
Correct Answer
C. VelocityExplanation
Velocity is an example of a vector quantity because it has both magnitude and direction. It describes how fast an object is moving and in which direction it is moving. In contrast, area, mass, and distance are all examples of scalar quantities because they only have magnitude and do not have a specific direction associated with them.Rate this question:
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- 3.
The order in which vectors are added will affect the end result.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The order in which vectors are added does not affect the end result. Vector addition is commutative, meaning that the result will be the same regardless of the order in which the vectors are added. This property holds true for both scalar and vector quantities. Therefore, the given statement is false.Rate this question:
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- 4.
Vector A is directed northward and vector B is directed eastward. Which of the following vector addition diagrams best represent the addition of vectors A and B and the subsequent resultant?
- A.
A
- B.
B
- C.
C
- D.
D
- E.
E
- F.
F
Correct Answer
E. EExplanation
In vector addition, the resultant vector is the vector sum of the individual vectors. In this case, since vector A is directed northward and vector B is directed eastward, the resultant vector should be directed in the northeast direction. Among the given options, only diagram E represents the addition of vectors A and B in a northeast direction, making it the best representation of the resultant vector.Rate this question:
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- 5.
The vector sum (magnitude only) of 67.0 m, north + 38.0 m, south is 7382 m.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The vector sum of two quantities in opposite directions should result in a smaller magnitude, not a larger one. In this case, the magnitudes of 67.0 m and 38.0 m should add up to a value smaller than 67.0 m, not 7382 m. Therefore, the statement is false.Rate this question:
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- 6.
Vectors in physics are equal to the amount of pressure.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The statement is incorrect. In physics, a vector is not the amount of pressure. A vector is a quantity that has both magnitude and direction. It represents physical quantities that require both magnitude and direction to be fully described, such as velocity, force, and displacement. Pressure, on the other hand, is a scalar quantity that only has magnitude and does not have a specific direction. Therefore, the correct answer is false.Rate this question:
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- 7.
A vector is an object with a magnitude and a direction.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
A vector is a mathematical object that represents both magnitude and direction. It is used to describe quantities such as velocity, force, and displacement. Unlike scalar quantities that only have magnitude, vectors have both magnitude and direction. Therefore, the statement that a vector is an object with a magnitude and a direction is true.Rate this question:
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- 8.
When adding vector B to vector A geometrically (or graphically) using the head to the tail method, the resultant is drawn from ____ to the ____.
- A.
Head of A, the tail of B
- B.
Head of B, the tail of A
- C.
The tail of A, head of B
- D.
The tail of B, head of A
Correct Answer
C. The tail of A, head of BExplanation
When adding vector B to vector A using the head-to-tail method, the resultant vector is drawn from the tail of A to the head of B. This method combines the magnitudes and directions of the vectors accurately. It's a fundamental technique in vector addition, commonly used in physics and engineering to determine the net effect of multiple forces or displacements acting on an object.Rate this question:
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- 9.
Consider the magnitude and direction of vectors A and B as shown in Diagram 1 above. Which one of the following diagrams would represent B - A = R?
- A.
Diagram A
- B.
Diagram B
- C.
Diagram C
- D.
Diagram D
Correct Answer
B. Diagram BExplanation
Diagram B represents B - A = R. In this diagram, vector A is represented by an arrow pointing to the left, and vector B is represented by an arrow pointing downwards. When we subtract vector A from vector B, we reverse the direction of vector A and add it to vector B. This results in a new vector R that points downwards and to the right, which is accurately represented in diagram B.Rate this question:
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- 10.
The vector sum (magnitude only) of 25.0 m, north + 18.0 m, East is ___ m.
- A.
7.00
- B.
21.5
- C.
30.8
- D.
35.8
- E.
43.0
- F.
54.2
- G.
949
- H.
None of these
Correct Answer
C. 30.8Explanation
The vector sum of 25.0 m, north and 18.0 m, east can be found using the Pythagorean theorem. The north and east components form the legs of a right triangle, with the vector sum as the hypotenuse. Using the Pythagorean theorem, the magnitude of the vector sum is calculated as the square root of the sum of the squares of the north and east components. In this case, the magnitude of the vector sum is √(25.0^2 + 18.0^2) = √(625 + 324) = √949 = 30.8 m. Therefore, the correct answer is 30.8.Rate this question:
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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
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Current Version
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Mar 22, 2024Quiz Edited by
ProProfs Editorial Team
Expert Reviewed by
Matt Balanda -
Sep 21, 2014Quiz Created by
Sciencegoddess
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