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The projection of vector vec(a)=2hat(i)+...

The projection of vector `vec(a)=2hat(i)+3hat(j)+2hat(k)` on `vec(b)=hat(i)+2hat(j)+hat(k)` is :

A

`(sqrt(5))/(6)`

B

`(2)/(3)sqrt(6)`

C

`(sqrt(3))/(2)`

D

`(5)/(3)sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
D
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MODERN PUBLICATION-VECTOR ALGEBRA -Objective Type Questions (A. Multiple Choice Questions)
  1. If vec(a)=hat(i)+2hat(j), then |vec(a)| is :

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  2. Direction - cosines of vec(a)=hat(i)+hat(j)-2hat(k) are :

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  3. If p hat(i)+3hat(j) is a vector of magnitude 5, then the value of p is...

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  4. If is the angle between any two vectors vec a and vec b , t...

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  5. The inequality |vec(a).vec(b)|le |vec(a)||vec(b)| is called :

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  6. The vectors vec(a) and vec(b) are perpendicular if :

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  7. Find the angle between two vectors vec a and vec b with magnitudes 1 a...

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  8. Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot ve...

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  9. The angle between the vectors : vec(a)=hat(i)+2hat(j)-3hat(k) and 3...

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  10. The D.C.'s of the vector hat(i)+2hat(j)+3hat(k) are :

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  11. If vec(a)=2hat(i)+2hat(j)+3hat(k), then its magnitude is :

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  12. If vec(a) and vec(b) are unlike vectors, then the angle between them i...

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  13. The angle between the vectors hat(i)-hat(j) and hat(j)+hat(k) is :

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  14. If vec(a).vec(b)=|vec(a)xx vec(b)|, then angle between vector vec(a) a...

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  15. Find the projection of the vector hat i+3 hat j+7 hat k on the vecto...

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  16. If the angle between two vectors vec(a) and vec(b) is zero, then :

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  17. The projection of vector vec(a)=2hat(i)+3hat(j)+2hat(k) on vec(b)=hat(...

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  18. If the vectors 5hat(i)+2hat(j)-hat(k) and lambda hat(i)-hat(j)+5hat(k...

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  19. Let the vectors vec a and vec b be such that | vec a|=3 and | ...

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  20. Which of the following is true ?

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