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If veca=2hati+hatj-hatk, vecb= -hati+2ha...

If `veca=2hati+hatj-hatk, vecb= -hati+2hatj+hatk, vecc=-hati+2hatj-hatk` then the unit vector perpendicular to both `veca+vecb and vecb +vec c` is :

A

`hati`

B

`hatj`

C

`hatk`

D

`(hati+hatj+hatk)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Choose the correct answer)
  1. If [veca+vecb, vecb+vec c, vec c+veca]=8 then [veca, vecb, vec c] is

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  2. If the area of the parallelogram having diagonals veca=3hati+hatj-2hat...

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  3. If veca=2hati+hatj-hatk, vecb= -hati+2hatj+hatk, vecc=-hati+2hatj-hatk...

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  4. The force vecF=2hati+2hatj-2hatk acting at the point hati-2hatj+hatk i...

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  5. If |veca|=5|vecb|=4 and |veca+vecb|=1 then |veca-vecb|=?

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  6. The projectionof hati-hatj on z axis:

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  7. Given veca*vecc=4, veca*vecd=3, vecb*vecc=2, vecb*vecd=3. Then value o...

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  8. The vector vec(AB)=3hati+2hatj+2hatk and vec(BC)= - hati-2hatk are adj...

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  9. If the angle between the lines having direction ratios (alpha, 3,5) an...

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  10. Let a, b, c be distinct non negative numbers. The vectors ahati+a hatj...

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  11. hati *(hatj xx hatk) +hatj(hatk xx hati) +hatk (hati xx hatj) is :

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  12. If veca is any vector then the value of Sigma (veca xx veci)^(2) is :

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  13. If (1-p)hati+2(1+p)hatj+(3+p)hatk and 3hati+hatj are at right angle to...

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  14. [veca, veca+vecb, veca+vecb+vecc] is :

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  15. The sum of the projection of 2hati+hatj+2hatk on the coordinate axis i...

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  16. If veca=hati-2hatj+hatk, vecb=hati+2hatj+3hatk, vec c=3hati+2hatj+hatk...

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  17. veca=2hati+3hatj-hatk vecb=hati-hatj-m hatk vec c= -hati+2hatj+hat...

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  18. The work done by the force vecF=2hati-3hatj+2hatk in moving a particle...

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  19. The area of the triangle formed by the points where position vector ar...

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  20. veca=hati-hatj+hatk, vecb=2hati+hatj-hatk, vec c=lambda hati-hatj+lamb...

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