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The direction cosines of vector a=3hati+...

The direction cosines of vector `a=3hati+4hatj+5hatk` in the direction of positive axis of X, is

A

`+-(3)/(sqrt(50))`

B

`(4)/(sqrt(50))`

C

`(3)/(sqrt(50))`

D

`-(4)/(sqrt(50))`

Text Solution

Verified by Experts

The correct Answer is:
C

`(3)/(sqrt(3^(2)+4^(2)+5^(2)))=(3)/(sqrt(50))`.
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-2hat...

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  2. If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hat...

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  3. The direction cosines of vector a=3hati+4hatj+5hatk in the direction o...

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  4. The direction cosines of the vector 3hati-4hatj+5hatk are

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  5. The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk ...

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  6. If the position vectors of the vertices A,B and C of a DeltaABC are 7h...

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  7. If a,b and c are the position vectors of the vertices A,B and C of the...

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  8. If a and b are position vector of two points A,B and C divides AB in r...

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  9. Find the position vector of the point which divides the join of the po...

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  10. If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . ...

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  11. If the position vectors of the points A and B are hati+3hatj-hatk and ...

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  12. The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3ha...

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  13. If the vector vecb is collinear with the vector vec a ( 2sqrt2,-1,4) a...

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  14. If vec a , vec b are the position vectors of the points (1,-1),(-2,m)...

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  15. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

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  16. The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk ...

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  17. If the points a+b,a-b and a+kb be collinear, then k is equal to

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  18. If the position vectors of A,B,C and D are 2hati+hatj,hati-3hatj,3hat...

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  19. If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...

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  20. Theorem 1: If a and b are two non collinear vectors; then every vector...

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