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A : If bara, barb, barc form a left hand...

A : If `bara, barb, barc` form a left handed orthogonal system such that
`bara.bara= 4, barb.barb =9, barc.barc =16 rArr [barabarbbarc]=-24`
R : For left handed system `[bara barb barc] < 0` , and `bara.bara =abs(bara)^(2)` , for orthogonal vectors
`bara, barb, barc, [barabarbbarc] =pm(absbara.absbarb.absbarc)`
The correct answer is

A

A,R are true, R is correct explanation of A

B

A,R are true, R is not correct explanation of A

C

A is true, R is false

D

A is true, R is false

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If barr is any vector then barr =

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  2. Arrange the following in the descending order of magnitude (A) [I...

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  3. A : If bara, barb, barc form a left handed orthogonal system such that...

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  4. If bari,barj,bark are orthogonal unit vector triad, then bari xx(barrx...

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  5. bari xx [(baraxxbarb)xxbari] +barj xx [(baraxx barb)x barj] + bark xx ...

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  6. bara, barb, barc are three unit vectors, barb is not parallel to barc ...

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  7. Let bara,barb and barc be non-zero vectors such that (baraxxbarb)xxbar...

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  8. If bara is a unit vector then baraxx{baraxx(baraxxbarb)}=

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  9. baraxx(barbxxbarc)+barbxx(barcxxbara)+barcxx(baraxxbarb)=

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  10. If (baraxxbarb)xxbarc=baraxx(barbxxbarc) where bara,barb,barc are any ...

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  11. If bara, barb are two non-zero vectors and c is nonzero scalar, and ba...

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  12. bari, barj, bark is a right handed orthonormal system of vectors and b...

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  13. The vectors baraxx(barbxxbarc),barbxx(barcxxbara).barcxx(baraxxbarb) a...

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  14. If veca,vecb,vecc,vecd are coplaner vectors, then (vecaxxvecb)xx(veccx...

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  15. If bara =bari -2barj-3bark,barb =2bari + barj-bark, barc = bari +3barj...

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  16. If vecbara=2bari+3barj-4bark,vecb=bari+barj+bark,vecc=4bari+2barj+3bar...

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  17. Let bara=2bari+barj-2bark,barb=bari+barj. If barc is a vector such tha...

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  18. If baraxx(barbxxbarc)=(baraxxbarb)xxc' then which of the following is ...

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  19. If bara,barb are two units vectors inclined at an angle pi/3 then {axx...

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  20. sum[(baraxxbari)xxbarj]^(2)=

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