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Let vecu= hati+hatj, vecv = hati -hatj ...

Let `vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk`. If `hatn` is a unit vector such that `vecu.hatn =0 and vecv.hatn=0` then find the value of `|vecw.hatn|`

A

3

B

0

C

1

D

2

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A
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. If veca , vecb , vec c are any three coplanar unit vectors , then :

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  2. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

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  3. Let vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk. I...

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  4. If vectors a=4hat(i)-3hat(j)+6hat(k) and vector b=-2hat(i)+2hat(j)-hat...

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  5. A vector of magnitude 14 lies in the xy-plane and makes an angle of 60...

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  6. If veca,vecb,vec c are unit vectors such that veca+vecb+vec c= vec0 fi...

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  7. The two variable vectors 3xhati+yhatj-3hatk and xhati-4yhatj+4hatk are...

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  8. Angle between the vectors sqrt3(veca xx vec b) " and " vec b - (veca ....

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  9. If the vector veca = (2 ,log3 x ,a ) and vecb = (-3,a log3x,log3x) are...

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  10. If veca , vecb ,vec c are the 3 vectors such that |veca| = 3, |vecb| ...

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  11. The vectors (2hati - mhatj+ 3mk) and {(1 + m) hati -2m hatj + hatk} i...

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  12. Let veca , vecb , vecc be three unit vectors such that |veca + vecb +...

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  13. If veca,vecb and vecc are three vectors of which every pair is non col...

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  14. The two vectors (x^2 - 1)hati +(x+2)hatj + x^2 hatk and 2hati -xhatj +...

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  15. The value of 'a' for which the points A, B,C with position vectors ...

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  16. For any vector veca the value of (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxx...

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  17. If (veca xx vecb) xx vecc = vec a xx (vecb xx vecc), where veca, vecb ...

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  18. veca=3hati-5hatj and vecb=6hati+3hatj are two vectors and vec c is a v...

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  19. Vectors veca and vec b are inclined at an angle theta = 120^@ . If |ve...

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  20. For any vector vecp , the value of 3/2 { |vecp xx hati|^2 + |vecp ...

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