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Can the magnitude of the reultant vector...

Can the magnitude of the reultant vector of two given vectros be less than the magitude of any of the given vector ?

Text Solution

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Yes, if the angle between the two vectors is more then `90^(@)` but less than ` 270^(@), because in that case ` cos theta` is negative.
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Assertion: A vector qunatity is a quantity that has both magnitude and a direction and obeys the triangle law of addition or equivalentyly the parallelogram law of addition. Reason: The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vector.

Assertion : A vector quantity is a quantity that has both magnitude and a direction and obeys the triangle law of addition and equivalently the parallelogram law of addition. Reason : The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vector.

Knowledge Check

  • Asserion: Magnitude of the resultant of two vectors may be less than the magnitude of either vector. Reason: The resultant of two vectors is obtained by means of law of parallelogram of Vectors.

    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.

  • If the magnitude of difference of two unit vectors is sqrt(3) , then the magnitude of sum of the two vectors is

    A
    `1/2`unit
    B
    1 unit
    C
    2 unit
    D
    3 unit

  • If the magnitude of difference of two unit vectors is sqrt3 , then the magnitude of sum of the two vectors is

    A
    `(1)/(2)` unit
    B
    1 unit
    C
    2 unit
    D
    3 unit

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