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Assertion: Two vectors are said to be li...

Assertion: Two vectors are said to be like vectors if they have same direction but different magnitude.
Reason: Vector quantities do not have specific direction.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion

C

If assertion is true but reason is false.

D

If both aseertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given question, we need to evaluate the assertion and the reason provided: **Assertion:** Two vectors are said to be like vectors if they have the same direction but different magnitudes. **Reason:** Vector quantities do not have a specific direction. ### Step-by-Step Solution: 1. **Understanding the Assertion:** - The assertion states that two vectors are considered "like vectors" if they have the same direction but can have different magnitudes. - This is a correct statement. For example, if vector A has a magnitude of 5 units in the east direction and vector B has a magnitude of 10 units in the same east direction, both vectors are like vectors. 2. **Understanding the Reason:** - The reason states that vector quantities do not have a specific direction. - This statement is incorrect. Vector quantities are defined by both magnitude and direction. For instance, velocity, force, and displacement are all vector quantities that have specific directions associated with them. 3. **Conclusion:** - Since the assertion is true (like vectors have the same direction but can differ in magnitude) and the reason is false (vector quantities do have specific directions), we can conclude that: - The assertion is correct. - The reason is incorrect. 4. **Final Answer:** - The correct option would be that the assertion is true, but the reason is false.

To analyze the given question, we need to evaluate the assertion and the reason provided: **Assertion:** Two vectors are said to be like vectors if they have the same direction but different magnitudes. **Reason:** Vector quantities do not have a specific direction. ### Step-by-Step Solution: ...
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Knowledge Check

  • Vector quantities have

    A
    only magnitude
    B
    only direction
    C
    Both magnitude and direction
    D
    none of these
  • Assertion: Two vectors are said to be equal if , and only if, they have the same magnitude and the same dirction. Reason: Addition and subtraction of scalars make sense only for quantities with same units.

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion
    C
    If assertion is true but reason is false.
    D
    If both assertion and reason are false.
  • The vector product of two vector is a vector whose direction is given is given by

    A
    Left hand thumb rule.
    B
    Right hand screw rule.
    C
    Fleming's left hand rule.
    D
    Biot-Savart's rule.
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