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If a, b, c are three given non-coplanar ...

If a, b, c are three given non-coplanar vectors and any arbitratry vector r is in space, where `Delta_1=|[r*a, b*a, c*a], [r*b, b*b, c*b], [r*c, b*c, c*c]| : Delta_2=|[a*a, r*a, c*a], [a*b, r*b, c*b], [a*c, r*c, c*c]|`
`Delta_3=|[a*a, b*a, r*a], [a*b, b*b, r*b], [a*c, b*c, r*c]|, Delta_4=|[a*a, b*a, c*a], [a*b, b*b, c*b], [a*c, c*c, c*c]|`
Q. The vector r is expressible in the form

A

`(pxxq)[axxb bxxc cxxa]`

B

`2(pxxq)[axxb bxxc cxxa]`

C

`4(pxxq)[axxb bxxc cxxa]`

D

`(pxxq)sqrt([axxb bxxc cxxa])`

Text Solution

Verified by Experts

The correct Answer is:
B
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