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Three vectors vecA,vecB and vecC add up ...

Three vectors `vecA,vecB` and `vecC` add up to zero.Find which is false.

A

`(vecAxxvecB)xxvecC` is not zero unless `vecB,vecC` are parallel

B

`(vecAxxvecB).vecC` is not zero unless `vecB,vecC` are parallel

C

If `vecA,vecB,vecC` define a plane, `(vecAxxvecB)xxvecC` is in that plane

D

`(vecAxxvecB).vecC =|vecA||vecB||vecC|rarrC^(2)=A^(2)+B^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
2) `(AxxB). C=(BxxA).C=0` Whatever be the positions of `A,B` and `C`.if `B||C`, then `BxxC=0`, then `(BxxC)xxC=0.3`
4) If `C^(2)=A^(2)+B^(2)`, then angles between `A` and `B` is `90^(@)`
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Knowledge Check

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