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Let beta = 4hati + 3hatj and vec gamma b...

Let `beta = 4hati + 3hatj and vec gamma` be two vectors perpendicular to each other in the XY plane. Find all the vectors in the same plane having the projections 1 and 2 along `vec beta and vec gamma` respectively.

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A DAS GUPTA-Product of two Vectors-Exercise
  1. If vecA = (1, 1, 1), vecC = (0,1,-1) are given vectors, then prove tha...

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  2. Find a unit vector perpendicular to the plane determined by the poi...

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  3. Let beta = 4hati + 3hatj and vec gamma be two vectors perpendicular to...

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  4. If |vec a|=3,|vec b|=5,|vec c|=7 and vec a+vec b+vec c=0 then angle be...

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  5. The conditions under which the vector vec P + vec Q and vec P - vec Q ...

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  6. Let vec O A- vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

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  7. Vector vec O A= hat i+2 hat j+2 hat k turns through a right angle ...

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  8. A vector a has components a1,a2,a3 in a right handed rectangular cart...

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  9. If vec a * vec b = vec a * vec c then

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  10. If vec(A)+vec(B)+vec(C )=0 then vec(A)xx vec(B) is

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  11. If vec a xx vec b= vec b xx vec c != vec 0 then which one is true wh...

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  12. A, B, C and D are four points in a plane with position vectors vec a,v...

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  13. If |vec a|= |vec b|= 1 and |vec a xx vec b|=1 then

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  14. The vector vecb = 3j + 4k is to be written as the sum of a vector vecb...

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  15. Let veca=2hati-hatj+hatk , vecb= hati+2hatj-hatk and vec c= hati+hatj-...

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  16. If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...

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  17. If vec(a). vec(b) = 0 and vec(a) xx vec(b) = vec(0) then which one of ...

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  18. If vec a=4 hat i+6 hat ja n d vec b=3 hat j+4 hat k , then find the c...

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  19. In each of the following, fill in the blank so that the resulting stat...

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  20. If vec(A) xx vec(B) = vec(B) xx vec(A), then the angle between A to B ...

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