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If three vectors vecA, vecB and vecC sat...

If three vectors `vecA, vecB and vecC` satisfy the relation `vecA.vecB = 0 & vecA.vecC = 0` then the vector `vecA` is parallel to `vecB xx vecC`.
Statement-2 : `vecA _|_vecB` and `vecA_|_vecC` hence A is perpendicular to plane formed by `vecB and vecC`.

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Three vectors vecA, vecB and vecC satisfy the relation vecA. vecB=0 and vecA. vecC=0. The vector vecA is parallel to

    A
    `vecB`
    B
    `vecC`
    C
    `vecB.vecC`
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    `vecB xx vecC`

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    A
    `vecb`
    B
    `vecC` must be less than `|vecA-vecB|`
    C
    `vecb.vecc`
    D
    `vecbxxvecc`

  • The vector (veca.vecb)vecc-(veca.vecc)vecb is perpendicular to

    A
    `vecb`
    B
    `veca`
    C
    `vecc`
    D
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