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What is the condition for vecA+vecB=vecA...

What is the condition for `vecA+vecB=vecA-vecB` to be valid ?

A

`vecA=0`

B

`vecB=0`

C

`vecA=vecB`

D

`vecA=-vecB`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Two vectors vecA and vecB have magnitudes 2 and 2sqrt2 respectively. It is found that vecA.vecB=[vecA xx vecB] , then the value of abs((vecA+vecB)/(vecA-vecB)) will be

    A
    5
    B
    `sqrt5`
    C
    `(sqrt2+1)/(sqrt2-1)`
    D
    `(sqrt2-1)/(sqrt2+1)`

  • For any two vectors vecA and vecB, if vecA*vecB=|vecAxxvecB| , the magnitude of vecC=vecA+vecB is equal to

    A
    `sqrt(A^2+B^2)`
    B
    A+B
    C
    `sqrt(A^2+B^2+(AB)/(sqrt(2)))`
    D
    `sqrt(A^2+B^2+sqrt(2)AB)`

  • The vectors vecA and vecB are such that |vecA+vecB|=|vecA-vecB| . The angle between two vectors will be

    A
    `0^@`
    B
    `60^@`
    C
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    `45^@`

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