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Punjab (PTB) · Chapter test · Free

10th Class Mathematics Chapter 6 TestUNIT 6: VECTORS IN PLANE

30 marks · 40 minutes · 21 questions. Covers: UNIT 6: VECTORS IN PLANE.

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10th Class Mathematics Chapter 6 Test

10th Class · Mathematics · Punjab (PTB)

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

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

  1. If , then  is:

  2. If , then  and  are in opposite direction if:

  3. A vector having magnitude zero is:

    1. Unit vector

    2. Null vector

    3. Negative vector

    4. Position vector

  4. A vector whose initial point is origin O(0,0) is:

    1. Null vector

    2. Unit vector

    3. Position vector

    4. None

  5. A vector whose magnitude is 1 is called ...... vector:

    1. Null vector

    2. Unit vector

    3. Position vector

    4. Negative vector

  6. A point lying in Quad-III is:

    1. (-2,1)

    2. (-4,1)

    3. (2,1)

    4. (3,-1)

  7. A quantity having both magnitude and direction is called:

    1. Scalar

    2. Vector

    3. Non-physical

    4. None

  8. Some of two vectors is:

    1. A triangle

    2. A vector

    3. A scalar

    4. A length

  9. If  is a non-zero vector then its unit vector is represented by:

  10. Two vectors  and  having same length and direction are called:

    1. Equivalent vectors

    2. Equal vectors

    3. Same vectors

    4. Parallel vectors

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

  1. If and , then find the following vector: 

  2. If  and , then find: (equation)

  3. Plot the following points on the coordinate plane: D(-2,-4)

  4. Name the tail and tip of the following vector:

  5. Name the quadrant in which each point lies: (4?3)

  6. A car enters a loop with velocity vector  and exits with velocity  What is the change in velocity vector?

  7. If and then find unit vector parallel to .

  8. Is the following vector is parallel?

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

  1. If  then find the values of m and n.

  2. If  and  then find .

  3. Points  and  form a triangle. Check whether triangle ABC is an isosceles by using vector magnitude.