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If veca is a nonzero vector of mangitude...

If `veca` is a nonzero vector of mangitude 'a' and `lambda` a nonzero scalar , then `lambdaveca` is unit vector if

A

`lambda=1`

B

`lambda=-1`

C

`a=|lambda|`

D

`a=1//|lambda|`

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The correct Answer is:
D
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NCERT GUJARATI-VECTOR ALGEBRA-EXERCISE 10.3
  1. Find the angle between two vectors vecaandvecb with magnitudes sqrt(3)...

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  2. Find the angle between the vectors hati-2hatj+3hatkand3hati-2hatj+hatk

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  3. Find the projection of the vector hati-hatj on the vector 7hati+hatj.

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  4. Find the projection of the vector hati+3hatj+7hatk on the vector 7hati...

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  5. Show that each of the given three vectors is a unit vector. (1)/(7)(2h...

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  6. Find |veca|and|vecb|, if (veca+vecb)*(veca-vecb)=8and|veca|=8|vecb|.

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  7. Evaluate the product (3veca-5vecb)*(2veca+7vecb).

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  8. Find the magnitude of two vectors vecaandvecb , having the same magni...

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  9. Find |vecx|, if for a unit vector veca,(vecx-veca)*(vecx+veca)=12.

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  10. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatkandvecc=3hati+hatj are...

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  11. Show that |veca|vecb+|vecb|veca is perpendicular to |veca|vecb-|vecb|...

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  12. If veca*veca=0andveca*vecab=0 , then what can be concluded about the v...

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  13. If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , fin...

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  14. If either vector veca=vec0orvecb=vec0, , then veca*vecb=0. But the c...

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  15. If either vector A,B,C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2)...

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  16. Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10, -1) are colli...

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  17. Show that the points A(2hati-hatj+hatk),B(hati-3hatj-5hatk),C(3hati-4...

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  18. If veca is a nonzero vector of mangitude 'a' and lambda a nonzero scal...

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