Master vector analysis with Vectors and Equilibrium MCQs, covering scalar and vector quantities, resultant forces, and equilibrium conditions. These Chapter 2 quizzes are tailored for 11th Class Physics students.
Which of the following is a scalar quantity?
a) Force
b) Displacement
c) Speed
d) Acceleration
Which of the following operations is not applicable to vectors?
a) Addition
b) Subtraction
c) Multiplication
d) Division
Two vectors are equal if they have the same:
a) Magnitude and direction
b) Magnitude only
c) Direction only
d) Neither magnitude nor direction
The resultant of two vectors is maximum when they are:
a) Parallel
b) Perpendicular
c) Anti-parallel
d) Collinear
What is the angle between two perpendicular vectors?
a) 0 degrees
b) 45 degrees
c) 90 degrees
d) 180 degrees
The cross product of two parallel vectors is:
a) Zero
b) Maximum
c) Minimum
d) Equal to their sum
Which of the following is a unit vector?
a) 2i + 3j
b) -i + j
c) i + j + k
d) i – j + k
What is the magnitude of the zero vector?
a) 0
b) 1
c) Undefined
d) Infinity
If the angle between two vectors is 180 degrees, their dot product is:
a) 0
b) 1
c) -1
d) Undefined
Which of the following is true for a null vector?
a) Its magnitude is zero
b) Its direction is undefined
c) Its components are all zero
d) All of the above
The sum of two concurrent forces is 50 N. If the angle between them is 60 degrees, what is their resultant force?
a) 25 N
b) 50 N
c) 100 N
d) 75 N
When does the equilibrium of a particle occur?
a) When it is at rest
b) When it is moving with constant velocity
c) When the net force acting on it is zero
d) When its acceleration is zero
Which of the following is an example of a vector quantity?
a) Temperature
b) Mass
c) Volume
d) Displacement
Which of the following is a correct representation of a vector in 2D space?
a) (3, 4, 5)
b) (2, 2)
c) (2i + 3j)
d) (3, 4)
The resultant of two vectors is minimum when they are:
a) Parallel
b) Perpendicular
c) Anti-parallel
d) Collinear
Which of the following operations is used to find the cross product of two vectors?
a) Dot product
b) Scalar product
c) Vector product
d) Both a and b
What is the magnitude of the cross product of two parallel vectors?
a) Zero
b) Maximum
c) Minimum
d) Undefined
The dot product of two perpendicular vectors is:
a) Zero
b) Maximum
c) Minimum
d) Equal to their sum
Which of the following is a unit vector in the y-direction?
a) i + j
b) 2i + 2j
c) 0i + 1j
d) 3i + 4j
If the magnitude of a vector is doubled, what happens to its direction?
a) It remains the same
b) It becomes half
c) It becomes double
d) It becomes zero
Which of the following is true for a position vector?
a) It is a free vector
b) Its tail is at the origin
c) It has a fixed length
d) All of the above
What is the unit of a vector quantity?
a) Meters
b) Kilograms
c) Radians
d) No unit
Which of the following is a scalar product of vectors?
a) Force
b) Work
c) Displacement
d) Velocity
Two vectors are said to be collinear if:
a) They have the same magnitude
b) They have the same direction
c) Their resultant is zero
d) Both b and c
Which of the following is a true statement about the cross product of two vectors?
a) It is commutative
b) It is distributive
c) It is associative
d) It is not defined
If the angle between two vectors is 90 degrees, their dot product is:
a) 0
b) 1
c) -1
d) Undefined
Which of the following is a correct representation of a vector in 3D space?
a) (2i + 3j)
b) (3, 4)
c) (2, 2, 2)
d) (2, 3, 0)
The vector sum of two collinear vectors is:
a) Zero
b) Maximum
c) Minimum
d) Undefined
What is the angle between two vectors with a dot product of -1?
a) 0 degrees
b) 45 degrees
c) 90 degrees
d) 180 degrees
Which of the following is a unit vector in the x-direction?
a) i + j
b) 2i + 2j
c) 0i + 1j
d) 3i + 4j
If the magnitude of a vector is halved, what happens to its direction?
a) It remains the same
b) It becomes half
c) It becomes double
d) It becomes zero
Which of the following is true for a displacement vector?
a) It is a bound vector
b) Its tail is at the origin
c) It has a fixed length
d) All of the above
What is the unit of a scalar quantity?
a) Meters
b) Kilograms
c) Radians
d) No unit
Which of the following is a vector product of vectors?
a) Force
b) Work
c) Displacement
d) Torque
Two vectors are said to be collinear if:
a) They have the same magnitude
b) They have the same direction
c) Their resultant is zero
d) Both b and c
Which of the following is a true statement about the dot product of two vectors?
a) It is commutative
b) It is distributive
c) It is associative
d) It is not defined
If the angle between two vectors is 0 degrees, their dot product is:
a) 0
b) 1
c) -1
d) Undefined
Which of the following is a correct representation of a vector in 3D space?
a) (2i + 3j)
b) (3, 4)
c) (2, 2, 2)
d) (2, 3, 0)
The vector sum of two collinear vectors is:
a) Zero
b) Maximum
c) Minimum
d) Undefined
What is the angle between two vectors with a dot product of 1?
a) 0 degrees
b) 45 degrees
c) 90 degrees
d) 180 degrees
Which of the following is a unit vector in the x-direction?
a) i + j
b) 2i + 2j
c) 0i + 1j
d) 3i + 4j
If the magnitude of a vector is halved, what happens to its direction?
a) It remains the same
b) It becomes half
c) It becomes double
d) It becomes zero
Which of the following is true for a displacement vector?
a) It is a bound vector
b) Its tail is at the origin
c) It has a fixed length
d) All of the above
What is the unit of a scalar quantity?
a) Meters
b) Kilograms
c) Radians
d) No unit
Which of the following is a vector product of vectors?
a) Force
b) Work
c) Displacement
d) Torque
Two vectors are said to be collinear if:
a) They have the same magnitude
b) They have the same direction
c) Their resultant is zero
d) Both b and c
Which of the following is a true statement about the dot product of two vectors?
a) It is commutative
b) It is distributive
c) It is associative
d) It is not defined
If the angle between two vectors is 0 degrees, their dot product is:
a) 0
b) 1
c) -1
d) Undefined
Which of the following is a correct representation of a vector in 3D space?
a) (2i + 3j)
b) (3, 4)
c) (2, 2, 2)
d) (2, 3, 0)
The vector sum of two collinear vectors is:
a) Zero
b) Maximum
c) Minimum
d) Undefined
What is the angle between two vectors with a dot product of 1?
a) 0 degrees
b) 45 degrees
c) 90 degrees
d) 180 degrees
Which of the following is a unit vector in the x-direction?
a) i + j
b) 2i + 2j
c) 0i + 1j
d) 3i + 4j
If the magnitude of a vector is halved, what happens to its direction?
a) It remains the same
b) It becomes half
c) It becomes double
d) It becomes zero
Which of the following is true for a displacement vector?
a) It is a bound vector
b) Its tail is at the origin
c) It has a fixed length
d) All of the above
What is the unit of a scalar quantity?
a) Meters
b) Kilograms
c) Radians
d) No unit
Which of the following is a vector product of vectors?
a) Force
b) Work
c) Displacement
d) Torque
Two vectors are said to be collinear if:
a) They have the same magnitude
b) They have the same direction
c) Their resultant is zero
d) Both b and c
Which of the following is a true statement about the dot product of two vectors?
a) It is commutative
b) It is distributive
c) It is associative
d) It is not defined
If the angle between two vectors is 0 degrees, their dot product is:
a) 0
b) 1
c) -1
d) Undefined
Which of the following is a correct representation of a vector in 3D space?
a) (2i + 3j)
b) (3, 4)
c) (2, 2, 2)
d) (2, 3, 0)
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