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Vectors and equilibrium

Class 11 · Physics · 5 questions

Name: ____________________   Date: ____________

  1. Two perpendicular vectors of magnitude 3 and 4 are added. The magnitude of the resultant is:

    • A 1
    • B 7
    • C 5
    • D 12

  2. The dot product of two perpendicular vectors is:

    • A Infinite
    • B 1
    • C 0
    • D Their product

  3. The magnitude of the cross product of two parallel vectors is:

    • A A B
    • B 1
    • C A + B
    • D Zero

  4. A force of 10 N acts at 30 degrees to the horizontal. What is its horizontal component?

    • A 5 N
    • B 10 N
    • C 17.3 N
    • D 8.7 N

  5. The first condition of equilibrium states that:

    • A The net force is zero
    • B Mass is constant
    • C The net torque is zero only
    • D Speed is always zero

Answer key

1. C, 2. C, 3. D, 4. D, 5. A

  1. R = square root of (9 + 16) = 5.

  2. A . B = A B cos 90 = 0.

  3. A x B = A B sin 0 = 0.

  4. Fx = 10 cos 30 = 8.7 N.

  5. The vector sum of all forces must be zero.