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The vector having initial and terminal p...

The vector having initial and terminal points as (2, 5, 0) and (-3,7,4), respectively is

A

`-hati+12hatj+4hatk`

B

`5hati+2hatj+4hatk`

C

`-5hati+2hatj+4hatk`

D

`hati+hatj+hatk`

Text Solution

Verified by Experts

Required vector `=-(-3-2)hati+(7-5)hatj+(4-0)hatk`
`=-5hati+2hatj+4hatk`
Similarly, we can say that for having initial and terminal points as
(i) (4, 1, 1) and (3, 13, 5), respectively.
(ii) (1, 1, 9) and (6, 3, 5), respectively
(iii) (1, 2,3) and (2, 3, 4) respectively, we shall get (a), (b) and (d) as its correct otions.
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NCERT EXEMPLAR-VECTOR ALGEBRA-Vector Algebra
  1. The vector in the direction of the vector hati-2hatj+2hatk that has ma...

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  2. The position vector of the point which divides the join of points 2vec...

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  3. The vector having initial and terminal points as (2, 5, 0) and (-3,7,4...

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  4. The angle between two vectros vecaandvecb with magnitudes sqrt3 and 4,...

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  5. Find the value of lamda such that the vectors veca=2hati+lamdahatj+hat...

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  6. The value of lamda for which the vectors 3hati-6hatj+hatkand2hati-4hat...

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  7. The vectors from origin to the points A and B are veca=2hati-3hatj+2ha...

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  8. For any vector veca the value of |vecaxxhati|^2+|vecaxxhatj|^2+|vecaxx...

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  9. If |veca|=10,|vecb|=2andveca.vecb=12, then the value of |vecaxxvecb| i...

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  10. The vectors lamdahati+hatj+2hatk,hati+lamdahatj-hatkand2hati-hatj+lamd...

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  11. If veca,vecbandvecc are unit vectors such that veca+vecb+vecc=0, then ...

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  12. The projection vector of veca" on "vecb is

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  13. If veca,vecbandvecc are three vectors such that veca+vecb+vecc=0and|ve...

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  14. If |veca|=4and-3lelamdale2, then the range of |lamdaveca| is

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  15. The number of vectors of unit length perpendicular to the vectors veca...

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  16. The vector veca+vecb bisects the angle between the non-collinear vecto...

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  17. If vecr.veca=0,vecr.vecb=0andvecr.vecc=0 for some non-zero vector vecr...

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  18. The vectors veca=3hati-2hatj+2hatkandvecb=-hati-2hatk are the adjacent...

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  19. The values of k, for which |k" "veca|ltveca| andk" "veca+(1)/(2)veca i...

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  20. The value of the expression |vecaxxvecb|^(2)+(veca.vecb)^(2) is….. .

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