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Federal (FBISE) · Chapter test · Free

1st Year Physics Chapter 2 Test02. Vectors

30 marks · 40 minutes · 21 questions. Covers: 02. Vectors.

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1st Year Physics Chapter 2 Test

1st Year · Physics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. Vector product of two parallel vectors is:
    1. AB
    2. AB sin 90°
    3. Zero
    4. Undefined
  2. A physical quantity that has both magnitude and direction is called:
    1. Scalar
    2. Vector
    3. Constant
    4. Unit quantity
  3. Scalar product of antiparallel vectors is:
    1. Negative
    2. Positive
    3. Zero
    4. Undefined
  4. The cross product of two vectors A and B is equal to:
    1. AB cos θ
    2. AB sin θ n̂
    3. A/B
    4. 0 always
  5. If a vector A makes angle θ with the horizontal, its x-component Ax is:
    1. A sin θ
    2. A tan θ
    3. A cos θ
    4. A/ sin θ
  6. The y-component of a vector making angle θ is:
    1. A sin θ
    2. A cos θ
    3. A tan θ
    4. A cot θ
  7. The magnitude of the cross product gives:
    1. Area of triangle
    2. Area of parallelogram
    3. Volume
    4. Length only
  8. The direction of a vector is found using:
    1. cos θ = Ax/A
    2. tan θ = Ay/Ax
    3. sin θ = Ax/A
    4. tan θ = Ax/Ay
  9. Vector product of two vectors is:
    1. Always scalar
    2. Always vector
    3. Sometimes scalar
    4. Unitless
  10. The component of a vector along the x-axis is called:
    1. Vertical component
    2. Projection component
    3. Resultant
    4. Horizontal component

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. What is the direction of A × B?
  2. Write the formula for the scalar product A * B.
  3. How can the direction θ of a vector be found using its components?
  4. Show that : A . B = Ax Bx + Ay By + Az Bz
  5. Why is the cross product of two parallel vectors zero?
  6. State the formula for the magnitude of a vector from its components.
  7. Why are the x- and y-components of a vector always perpendicular?
  8. State the right-hand rule for cross product.

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Explain the vector product of two vectors. Derive A × B = AB sin θ n̂, explain the right-hand rule, and show its properties
  2. What is scalar product? Explain. Also write the properties of scalar product.
  3. A force is acting on a body making an angle of 30° with the horizontal. The horizontal component of the force is 20 N. Find the force?