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

If vectors `a=4hat(i)-3hat(j)+6hat(k)` and vector `b=-2hat(i)+2hat(j)-hat(k)`, then (projection of vector a on vectors)/(projection of vector b on a vector) is equal to

A

`3/7`

B

`7/3`

C

3

D

7

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The correct Answer is:
B
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2, then |ve...

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