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The position vector of the point which d...

The position vector of the point which divides the join of points with position vectors `vec a+vec b` and `2vec a-vec b` inthe ratio 1: 2 is

A

`1/3(3vec a+2vec b)`

B

`vec a`

C

`1/3(5vec a- vec b)`

D

`(4vec a+vec b)/3`

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PRADEEP PUBLICATION-VECTORS-EXERCISE
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  4. The value of λ for which the vectors 3 hat i-6hat j +hat k and 2 hat i...

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  5. If vec a and vec b are non-collinear proper vectors then number of uni...

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  6. If θ is the angle between two proper vectors vec a and vec b, then vec...

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  7. If vec a is any vector, then vec a*vec a

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  8. For any vector, vec a, vec a xx vec a

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

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  10. The angle between two vectors vec a and vec b with Magnitudes sqrt3 an...

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  11. The value of λ for which the vectors vec a= 2 hat i+λ hat j+hat kand v...

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  12. Find the angle between the vectors hat i-hat j and hat j-hat k.

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  13. The vector with initial point P(2,-3,5) and terminal point Q(3,-4,7) i...

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  14. If vec a * vec a=0 thenvec a is a

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  15. If vec a and vec b are proper vectors such that vec b= λ veca for some...

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  16. For any two vectors vec a and vec b, which of the following is not tru...

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  17. The area of the parallelogram whose adjacent sides are hat i+hat k and...

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  18. If the vectors from the origin to the points A and B are . vec a= a ha...

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  19. Given |quad vec a|=10,|quad vec b|=2 and vec a *vec b=12, find | vec a...

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  20. Direction cosines of hat i are ‘

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