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(bara times hati)^2+(bara+hatj)^2+(bara ...

`(bara times hati)^2+(bara+hatj)^2+(bara times hatk)^2` is equal to

A

`(bara)^2`

B

`3(bara)^2`

C

`2(bara)^2`

D

None of these

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The correct Answer is:
C
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FIITJEE-VECTOR-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. IF barA=hati-3hatj+4hatk,barB=6hati+4hatj-8hatk,barC=5hati+2hatj+5hatk...

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  2. If hatd is a unit vectors such that hatd=lamdabarb times barc+mubarc t...

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  3. (bara times hati)^2+(bara+hatj)^2+(bara times hatk)^2 is equal to

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  4. If bara and barb are two unit vectors at 120^@ and c is any vector inc...

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  5. In a triangle ABC, angleA=30^@ H is the orthocentre and D is the midpo...

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  6. IF bara,barb,barc are non-coplanar vectors and lamda is a real number ...

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  7. Let X be the midpoint of the side AB of triangle ABC. And Y be the mid...

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  8. Let baru,barv,barw be such that abs(baru)=1,abs(barv)=2,abs(barw)=3. I...

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  9. IF a,b,c are three real numbers not all equal and the vectors barx=aha...

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  10. Consider triangleABC and triangleA1B1C1 in such a way that bar(AB)=ba...

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  11. Let bara=hati+hatj+hatk,barb=x1hati+x2hatj+x3hatk where x1,x2,x3 in (-...

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  12. Let bara and barb be two vectors of equal magnitude 5units. Let barp,q...

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  13. Consider a parallelogram constructed as 5bara+2barb and bara-3barb whe...

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  14. The vectors vecx and vecy satisfy the equation pvecx+qvecy=veca (where...

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  15. Let bara and barb be two non coplanar unit vectors IF baru=bara-(bara....

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  16. A vector bara has components a1,a2,a3 in the right handed rectangular ...

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  17. Let DeltaABC be given triangle IF |barBA+tbarBC |ge |barAC| for any t ...

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  18. If barr.bara=barr.barb=barr.barc=0 for non-zero vector barr then the v...

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  19. vecr=3hati+2hatj-5hatk, veca=2hati-hatj+hatk, vecb=hati+3hatj-2hatk, v...

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  20. Let bara barb barc be three unit vectors such that |bara+barb+barc|=1 ...

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