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Let vecr be a non - zero vector satisfyi...

Let `vecr` be a non - zero vector satisfying `vecr.veca = vecr.vecb =vecr.vecc =0` for given non- zero vectors `veca vecb and vecc`
Statement 1: `[ veca - vecb vecb - vecc vecc- veca] =0`
Statement 2: `[veca vecb vecc] =0`

A

Both the statements are true and statement 2 is the correct explanation for statement 1.

B

Both statements are true but statement 2 is not the correct explanation for statement 1.

C

Statement 1 is true and Statement 2 is false

D

Statement 1 is false and Statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
b
`vecr.veca= vecr.vecb= vecr.vecc=0 ` only if `veca,vecb and vecc` are coplanar, thus,
`[veca vecb vecc] =0`
Hence, statement 2 is true
Also `[veca -vecb vecb-vecc vecc-veca]=0 " even " if [veca vecb vecc] ne 0`
Hence, statement 2 is not the correct explanation for statement 1.
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