Basic Concepts Of Vector: Quiz! Test

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| By Joel Dodd

Joel Dodd

Community Contributor

Quizzes Created: 26 | Total Attempts: 171,842

Questions: 14 | Attempts: 1,500 | Updated: Apr 9, 2024

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Basic Concepts Of Vector: Quiz! Test - Quiz

A vector is a quantity that has both direction and magnitude. Over the past week, we have been able to cover much about how to measure it. The quiz below is designed to Assesses and reinforces the student's understanding and interpretation of independent vectors. Do give it a try and get to see just how attentive you have been in class.

Questions and Answers

1.

A vector has direction only.
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
A vector has both magnitude and direction. Magnitude refers to the length or size of the vector, while direction refers to the orientation or angle at which the vector is pointing. Therefore, the statement that a vector has direction only is incorrect.

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2.

A vector has both.
- A.
  
  Direction and velocity
- B.
  
  Direction and magazines
- C.
  
  Direction and magnitude
Correct Answer
C. Direction and magnitude

Explanation
A vector has both direction and magnitude. Direction refers to the orientation or angle at which the vector is pointing, while magnitude refers to the size or length of the vector. In other words, a vector not only tells us which way something is going, but also how fast or how much of it is moving in that direction. Therefore, the correct answer is direction and magnitude.

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1
0
3.

What is the vector shown?
- A.
  
  ⎛-4⎞ ⎝-5⎠
- B.
  
  ⎛ 4⎞ ⎝-5⎠
- C.
  
  ⎛4⎞ ⎝5⎠
- D.
  
  ⎛-5⎞ ⎝ 4⎠
Correct Answer
B. ⎛ 4⎞ ⎝-5⎠

Explanation
The given vector is represented as ⎛ 4⎞ ⎝-5⎠. This means that the vector has a horizontal component of 4 and a vertical component of -5.

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4.

What is the vector shown?
- A.
  
  ⎛-1⎞ ⎝ 6⎠
- B.
  
  ⎛ 1⎞ ⎝-6⎠
- C.
  
  ⎛-1⎞ ⎝-6⎠
- D.
  
  ⎛1⎞ ⎝ 6⎠
Correct Answer
A. ⎛-1⎞ ⎝ 6⎠

Explanation
The vector shown is ⎛-1⎞
⎝ 6⎠.

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5.

What is the vector shown?
- A.
  
  ⎛-2⎞ ⎝ 6⎠
- B.
  
  ⎛ 2⎞ ⎝-6⎠
- C.
  
  ⎛-2⎞ ⎝-6⎠
- D.
  
  ⎛2⎞ ⎝ 6⎠
Correct Answer
D. ⎛2⎞ ⎝ 6⎠

Explanation
The vector shown is (2, 6).

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6.

What is the vector shown?
- A.
  
  ⎛0⎞ ⎝7⎠
- B.
  
  ⎛ 0⎞ ⎝-7⎠
- C.
  
  ⎛-7⎞ ⎝-0⎠
- D.
  
  ⎛7⎞ ⎝ 7⎠
Correct Answer
B. ⎛ 0⎞ ⎝-7⎠

Explanation
The vector shown is (0, -7) because it has a magnitude of 7 in the negative y-direction and a magnitude of 0 in the x-direction.

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7.

What is the vector shown?
- A.
  
  ⎛3⎞ ⎝1⎠
- B.
  
  ⎛ 3⎞ ⎝-1⎠
- C.
  
  ⎛-3⎞ ⎝ 1⎠
- D.
  
  ⎛ -3⎞ ⎝ -1⎠
Correct Answer
C. ⎛-3⎞ ⎝ 1⎠
8.

What is the vector shown?
- A.
  
  ⎛ 5⎞ ⎝-2⎠
- B.
  
  ⎛-5⎞ ⎝-2⎠
- C.
  
  ⎛-2⎞ ⎝ 5⎠
- D.
  
  ⎛ -2⎞ ⎝ -5⎠
Correct Answer
A. ⎛ 5⎞ ⎝-2⎠

Explanation
The vector shown is ⎛ 5⎞ ⎝-2⎠.

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9.

What is the vector shown?
- A.
  
  ⎛0⎞ ⎝3⎠
- B.
  
  ⎛3⎞ ⎝-1⎠
- C.
  
  ⎛-3⎞ ⎝ 0⎠
- D.
  
  ⎛ 3⎞ ⎝ 0⎠
Correct Answer
D. ⎛ 3⎞ ⎝ 0⎠

Explanation
The vector shown in the answer is ⎛ 3⎞ ⎝ 0⎠. This means that the vector has a horizontal component of 3 and a vertical component of 0. It is a horizontal vector pointing to the right.

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2
10.

What is the vector shown?
- A.
  
  ⎛2⎞ ⎝5⎠
- B.
  
  ⎛ 2⎞ ⎝-5⎠
- C.
  
  ⎛-2⎞ ⎝-5⎠
- D.
  
  ⎛-2⎞ ⎝ 5⎠
Correct Answer
C. ⎛-2⎞ ⎝-5⎠

Explanation
The vector shown is ⎛-2⎞ ⎝-5⎠.

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11.

What is the vector shown?
- A.
  
  ⎛5⎞ ⎝3⎠
- B.
  
  ⎛ 5⎞ ⎝-3⎠
- C.
  
  ⎛3⎞ ⎝5⎠
- D.
  
  ⎛-5⎞ ⎝ 3⎠
Correct Answer
A. ⎛5⎞ ⎝3⎠

Explanation
The vector shown is (5,3).

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12.

What is the vector shown?
- A.
  
  ⎛5⎞ ⎝5⎠
- B.
  
  ⎛-5⎞ ⎝ 5⎠
- C.
  
  ⎛-5⎞ ⎝-5⎠
- D.
  
  ⎛ 5⎞ ⎝-5⎠
Correct Answer
C. ⎛-5⎞ ⎝-5⎠

Explanation
The vector shown is in the fourth quadrant of a Cartesian coordinate system. It has a negative x-coordinate and a negative y-coordinate, which is represented by the answer ⎛-5⎞
⎝-5⎠.

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13.

What is the vector shown?
- A.
  
  ⎛5⎞ ⎝0⎠
- B.
  
  ⎛ 0⎞ ⎝ 5⎠
- C.
  
  ⎛-5⎞ ⎝ 0⎠
- D.
  
  ⎛ 0⎞ ⎝-5⎠
Correct Answer
B. ⎛ 0⎞ ⎝ 5⎠

Explanation
The vector shown is a vertical vector pointing upwards with a magnitude of 5 units.

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14.

What is the vector shown?
- A.
  
  ⎛0⎞ ⎝4⎠
- B.
  
  ⎛ 4⎞ ⎝ 0⎠
- C.
  
  ⎛-4⎞ ⎝ 0⎠
- D.
  
  ⎛ 0⎞ ⎝-4⎠
Correct Answer
C. ⎛-4⎞ ⎝ 0⎠

Explanation
The vector shown in the image appears to point left on the grid. In a standard Cartesian coordinate system, this would represent a negative movement along the x-axis and no movement along the y-axis. Therefore, the vector would be represented by:

-4,0

This indicates a movement of 4 units to the left (negative direction) on the x-axis and 0 units on the y-axis.

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0