What is a scalar quantity?
a) A quantity that has both magnitude and direction
b) A quantity that has only magnitude
c) A quantity that has neither magnitude nor direction
d) A quantity that can only be negative
Which of the following is a vector quantity?
a) Temperature
b) Distance
c) Speed
d) Displacement
Which of the following is an example of a scalar?
a) Force
b) Velocity
c) Work
d) Acceleration
What is the unit of a scalar quantity like energy?
a) Meter
b) Kilogram
c) Joule
d) Newton
Which of the following is NOT a vector quantity?
a) Velocity
b) Force
c) Power
d) Displacement
What operation is used to add two vectors?
a) Multiplication
b) Division
c) Addition
d) Subtraction
What is the result of adding two vectors in the same direction?
a) A vector in the opposite direction
b) A smaller vector
c) A vector in the same direction
d) Zero vector
What is the magnitude of the resultant vector if two equal vectors of magnitude 5 units each are added in opposite directions?
a) 0 units
b) 5 units
c) 10 units
d) 2.5 units
Which of the following is the correct operation for subtracting vectors?
a) Add the vectors and change the direction of one
b) Multiply the vectors
c) Add the magnitudes of the vectors
d) Subtract the magnitudes and keep the direction of the larger vector
Which vector operation is used to find the angle between two vectors?
a) Dot product
b) Cross product
c) Scalar product
d) Magnitude calculation
In a two-dimensional plane, the vector (3,4) represents:
a) Magnitude of 5, direction at 45°
b) Magnitude of 7, direction at 53°
c) Magnitude of 5, direction at 53°
d) Magnitude of 7, direction at 45°
The resultant of two vectors can be determined using:
a) Dot product
b) Cross product
c) Triangle or parallelogram law
d) Both a and b
Which of the following quantities is a scalar?
a) Weight
b) Velocity
c) Speed
d) Displacement
The dot product of two perpendicular vectors is:
a) Zero
b) One
c) Infinity
d) Undefined
In the case of two vectors A = (2, 3) and B = (4, 6), their dot product is:
a) 14
b) 18
c) 32
d) 12
Which of the following is a vector operation?
a) Addition
b) Scalar multiplication
c) Cross product
d) All of the above
The direction of a vector can be represented by:
a) Magnitude
b) Angle with respect to a reference axis
c) A straight line
d) A point
The magnitude of a vector is always:
a) Negative
b) Positive
c) Zero
d) A scalar quantity
The cross product of two vectors results in:
a) A scalar
b) A vector perpendicular to both vectors
c) A scalar product
d) A vector in the same direction as the original vectors
Which of the following is true about vectors?
a) They always have magnitude only
b) They are always positive
c) They have both magnitude and direction
d) They cannot be added
If a vector A has components (3, 4), then its magnitude is:
a) 3
b) 4
c) 5
d) 7
Which of the following operations results in a scalar quantity?
a) Dot product of two vectors
b) Cross product of two vectors
c) Vector addition
d) Vector subtraction
The unit of vector is the same as:
a) Unit of length
b) Unit of time
c) Unit of mass
d) Unit of force
The components of a vector in the x and y directions are:
a) Its magnitude and direction
b) Its position and velocity
c) Its projection on the coordinate axes
d) Its time and distance
Which of the following quantities can be represented by a vector?
a) Energy
b) Mass
c) Acceleration
d) Power
What is the result of multiplying a vector by a scalar?
a) A scalar
b) A vector with a different magnitude
c) A vector with the same magnitude
d) A zero vector
The unit vector in the direction of a vector A = (3, 4) is:
a) (0.6, 0.8)
b) (1, 1)
c) (0.75, 0.75)
d) (3, 4)
Which of the following is a condition for vectors to be added?
a) They must have the same magnitude
b) They must be in the same direction
c) They must be from the same point
d) They must have the same units
The vector (3, -4) lies in:
a) The first quadrant
b) The second quadrant
c) The third quadrant
d) The fourth quadrant
If the magnitude of two vectors is equal, but their directions are opposite, their resultant is:
a) Zero
b) The sum of the magnitudes
c) A vector in one of their directions
d) Undefined
Which of the following operations results in a vector quantity?
a) Scalar product
b) Vector subtraction
c) Magnitude calculation
d) Dot product
The displacement vector between points A (3, 2) and B (7, 8) is:
a) (4, 6)
b) (10, 12)
c) (3, 5)
d) (1, 1)
What is the angle between two perpendicular vectors?
a) 0°
b) 45°
c) 90°
d) 180°
Which of the following is true about a unit vector?
a) It has magnitude of 1
b) It has a magnitude greater than 1
c) It is a scalar quantity
d) It has no direction
In the equation of a vector, what does the magnitude represent?
a) The direction of the vector
b) The angle between two vectors
c) The length or size of the vector
d) The units of the vector
Which of the following operations is used to find the perpendicular vector to two vectors in a 3D space?
a) Dot product
b) Cross product
c) Scalar multiplication
d) Vector addition
