AP ECET PHYSICS Multiple Choice Questions (MCQs)

16. Which of the following is a scalar quantity?

• a) Force
• b) Velocity
• c) Mass
• d) Displacement

17. A vector quantity is defined by:

• a) Only magnitude
• b) Only direction
• c) Magnitude and direction
• d) None of the above

18. What is the graphical representation of a vector?

• a) A straight line
• b) A straight line with an arrow at one end
• c) A curve
• d) A polygon

19. The addition of two vectors is performed using:

• a) Parallelogram law only
• b) Triangle law only
• c) Either parallelogram law or triangle law
• d) Polygon law

20. In the parallelogram law of vectors, if two vectors are equal in magnitude and perpendicular to each other, the magnitude of the resultant vector is:

• a) Equal to the sum of the two vectors
• b) Equal to the difference of the two vectors
• c) Equal to the product of the two vectors
• d) Equal to the diagonal of the parallelogram formed by the vectors

21. Which of the following represents the result of the addition of two vectors using the polygon law?

• a) The difference of the vectors
• b) The sum of the vectors
• c) The average of the vectors
• d) The resultant vector in the direction of the largest vector

22. The resolution of a vector refers to:

• a) Finding the magnitude of the vector
• b) Splitting a vector into components along perpendicular axes
• c) The direction of the vector
• d) None of the above

23. Unit vectors i, j, k represent:

• a) The direction of a vector
• b) The components of a vector along the x, y, z axes
• c) The magnitude of a vector
• d) None of the above

24. The dot product of two vectors results in:

• a) A scalar quantity
• b) A vector quantity
• c) A matrix
• d) None of the above

25. The cross product of two vectors results in:

• a) A scalar quantity
• b) A vector quantity
• c) A matrix
• d) A complex number

26. The dot product of two vectors A and B, \( A \cdot B \), is given by:

• a) \( |A| |B| \sin \theta \)
• b) \( |A| |B| \cos \theta \)
• c) \( |A| |B| \)
• d) \( |A| + |B| \)

27. The cross product of two vectors A and B, \( A \times B \), is given by:

• a) \( |A| |B| \sin \theta \)
• b) \( |A| |B| \cos \theta \)
• c) \( |A| |B| \)
• d) \( |A| + |B| \)

28. The result of a dot product of two parallel vectors is:

• a) Zero
• b) A negative scalar
• c) A positive scalar
• d) A vector

29. Which of the following is true for the cross product of two parallel vectors?

• a) The result is zero
• b) The result is a vector perpendicular to both vectors
• c) The result is a scalar
• d) None of the above

30. The magnitude of the cross product of two vectors A and B, \( |A \times B| \), is maximum when the angle between them is:

• a) 0°
• b) 90°
• c) 180°
• d) 45°