[
  {
    "Question": "What is the magnitude of a vector with components (3, 4)?",
    "Answer": "B",
    "Explanation": "The magnitude of a vector can be calculated using the formula √(x² + y²). For the vector (3, 4), the magnitude is √(3² + 4²) = √(9 + 16) = √25 = 5.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "5",
    "OptionC": "7",
    "OptionD": "4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Magnitude of a Vector",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "Vectors/Magnitude"
  },
  {
    "Question": "Which of the following represents the direction of a vector?",
    "Answer": "A",
    "Explanation": "The direction of a vector is represented by the angle it makes with the positive x-axis, often measured in degrees or radians.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Vector_angle.svg/1200px-Vector_angle.svg.png",
    "OptionA": "Angle with the x-axis",
    "OptionB": "Length of the vector",
    "OptionC": "Magnitude squared",
    "OptionD": "Sum of components",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Direction of a Vector",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "Vectors/Direction"
  },
  {
    "Question": "What is the result of adding the vectors (2, 3) and (4, -1)?",
    "Answer": "C",
    "Explanation": "To add vectors, you add their corresponding components. (2 + 4, 3 + (-1)) = (6, 2).",
    "PictureURL": "",
    "OptionA": "(2, 2)",
    "OptionB": "(4, 3)",
    "OptionC": "(6, 2)",
    "OptionD": "(6, 4)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Vector Addition",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "Vectors/Addition"
  },
  {
    "Question": "What is the dot product of the vectors (1, 2) and (3, 4)?",
    "Answer": "A",
    "Explanation": "The dot product is calculated as (1*3) + (2*4) = 3 + 8 = 11.",
    "PictureURL": "",
    "OptionA": "11",
    "OptionB": "7",
    "OptionC": "6",
    "OptionD": "12",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Dot Product of Vectors",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "Vectors/DotProduct"
  },
  {
    "Question": "Which operation is used to find the angle between two vectors?",
    "Answer": "B",
    "Explanation": "The angle θ between two vectors can be found using the formula cos(θ) = (A · B) / (|A| |B|), where A · B is the dot product.",
    "PictureURL": "",
    "OptionA": "Cross product",
    "OptionB": "Dot product",
    "OptionC": "Magnitude",
    "OptionD": "Addition",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Finding Angle Between Vectors",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "Vectors/Angle"
  },
  {
    "Question": "What is the cross product of the vectors (1, 0, 0) and (0, 1, 0)?",
    "Answer": "D",
    "Explanation": "The cross product of two vectors in 3D is given by the determinant of a matrix formed by the unit vectors and the components of the vectors. The result is (0, 0, 1).",
    "PictureURL": "",
    "OptionA": "(1, 1, 0)",
    "OptionB": "(0, 0, 0)",
    "OptionC": "(1, 0, 1)",
    "OptionD": "(0, 0, 1)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Cross Product of Vectors",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "Vectors/CrossProduct"
  },
  {
    "Question": "In physics, what does a vector quantity represent?",
    "Answer": "A",
    "Explanation": "A vector quantity has both magnitude and direction, such as velocity, force, and displacement.",
    "PictureURL": "",
    "OptionA": "Magnitude and direction",
    "OptionB": "Only magnitude",
    "OptionC": "Only direction",
    "OptionD": "Neither magnitude nor direction",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Vector Quantity",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "Vectors/VectorQuantity"
  },
  {
    "Question": "Which of the following is an example of a scalar quantity?",
    "Answer": "B",
    "Explanation": "A scalar quantity has only magnitude and no direction. Examples include temperature and mass.",
    "PictureURL": "",
    "OptionA": "Velocity",
    "OptionB": "Mass",
    "OptionC": "Force",
    "OptionD": "Displacement",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Scalar Quantity",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "Vectors/ScalarQuantity"
  },
  {
    "Question": "What is the unit of measurement for vectors in physics?",
    "Answer": "C",
    "Explanation": "Vectors can be measured in various units depending on the context, such as meters for displacement or newtons for force.",
    "PictureURL": "",
    "OptionA": "Kilograms",
    "OptionB": "Joules",
    "OptionC": "Depends on the context",
    "OptionD": "Seconds",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Unit of Measurement for Vectors",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "Vectors/UnitMeasurement"
  },
  {
    "Question": "What is the resultant vector of (5, 0) and (0, 5)?",
    "Answer": "A",
    "Explanation": "The resultant vector is found by adding the corresponding components: (5 + 0, 0 + 5) = (5, 5).",
    "PictureURL": "",
    "OptionA": "(5, 5)",
    "OptionB": "(5, 0)",
    "OptionC": "(0, 5)",
    "OptionD": "(0, 0)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Resultant Vector",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "Vectors/ResultantVector"
  },
  {
    "Question": "If a vector is multiplied by a scalar, what happens to its magnitude?",
    "Answer": "B",
    "Explanation": "When a vector is multiplied by a scalar, its magnitude is scaled by the absolute value of the scalar, while its direction remains unchanged if the scalar is positive.",
    "PictureURL": "",
    "OptionA": "It becomes zero",
    "OptionB": "It changes proportionally",
    "OptionC": "It remains the same",
    "OptionD": "It becomes negative",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Effect of Scalar Multiplication",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "Vectors/ScalarMultiplication"
  },
  {
    "Question": "What is the angle between the vectors (1, 1) and (-1, 1)?",
    "Answer": "C",
    "Explanation": "To find the angle, use the dot product formula. The dot product is (1*-1) + (1*1) = 0. The magnitudes are √2 and √2. Thus, cos(θ) = 0, which means θ = 90 degrees.",
    "PictureURL": "",
    "OptionA": "45 degrees",
    "OptionB": "60 degrees",
    "OptionC": "90 degrees",
    "OptionD": "180 degrees",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Angle Between Vectors",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "Vectors/AngleBetween"
  },
  {
    "Question": "Which of the following is NOT a vector operation?",
    "Answer": "D",
    "Explanation": "Vector operations include addition, subtraction, and scalar multiplication. Division is not a standard vector operation.",
    "PictureURL": "",
    "OptionA": "Addition",
    "OptionB": "Subtraction",
    "OptionC": "Scalar multiplication",
    "OptionD": "Division",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Vector Operations",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "Vectors/Operations"
  },
  {
    "Question": "In physics, how are vectors typically represented graphically?",
    "Answer": "A",
    "Explanation": "Vectors are typically represented as arrows, where the length of the arrow indicates the magnitude and the direction of the arrow indicates the direction.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Vector_representation.svg/1200px-Vector_representation.svg.png",
    "OptionA": "As arrows",
    "OptionB": "As points",
    "OptionC": "As lines",
    "OptionD": "As circles",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Graphical Representation of Vectors",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "Vectors/GraphicalRepresentation"
  },
  {
    "Question": "What is the primary application of vectors in physics?",
    "Answer": "B",
    "Explanation": "Vectors are used to represent quantities that have both magnitude and direction, such as force, velocity, and acceleration, which are fundamental in analyzing physical phenomena.",
    "PictureURL": "",
    "OptionA": "Calculating area",
    "OptionB": "Representing physical quantities",
    "OptionC": "Finding roots of equations",
    "OptionD": "Measuring time",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vectors Practice Test",
    "Content Type": "Physics",
    "Title": "Applications of Vectors in Physics",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "Vectors/Applications"
  }
]