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The unit vector parallel to the resultan...

The unit vector parallel to the resultant of the vectors A = 4i+3j + 6k and B = -i + 3j-8k is

A

`(1)/(7) (3 hat(i) + 6hat(j) - 2hat(k))`

B

`(1)/(2) (3hat(i) + 6hat(j) + 2hat(k))`

C

`(1)/(49) (3 hat(i) + 6hat(j) - 2hat(k))`

D

`(1)/(49) (3hat(i) - 6hat(j) + 2hat(k))`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-VECTORS-Practice Sheet (Exercise-II) (Resolution of Vectors (Level -I)) (Straight Objective Type Questions)
  1. If component of one vector in the direction of another vector is zero,...

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  2. The rectangular component of a vector is

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  3. The minimum number of forces of equal magnitude in a plane that can ke...

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  4. The minimum number of non coplanar forces that can keep a particle in ...

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  5. One of the rectangular components of a velocity of 20 ms^(-1) is 10 m...

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  6. The horizontal component of the weight of a body of mass m is

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  7. What are the maximum number of rectangular components of a vector can ...

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  8. A weight mg is suspended from the middle of a rope whose ends are at t...

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  9. The force acting on a particle makes an angle of 60^(@) with the posit...

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  10. If A = 2i - 3 j + 4k its components in yz plane and zx plane are respe...

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  11. If vectors vecA and vecB are 3i -4j + 5k and 2i + 3j - 4k respectively...

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  12. The unit vector parallel to the resultant of the vectors A = 4i+3j + 6...

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  13. If A= 3i - 4j and B= - I - 4j, calculate vec(A) + vec(B) and |vec(A) +...

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  14. If A= 3i - 4j and B= - I - 4j, calculate vec(A) + vec(B) and |vec(A) +...

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  15. Two vectors are given by a = -2i + j-3k and b = 5i + 3j-2k- If 3a+2b-c...

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  16. A body starts with a velocity 2 hati +3hatj +11 hatk m/s and moves wi...

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  17. Displacement vectors vec(A) = (3i + 3j)m, vec(B) = (1-4j)m and vec(C )...

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  18. If A = 6.00i - 8.00j units, B= 8.00i + 3.00j units and C = 26.0i + 19....

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  19. Angle (in rad) made by the vector sqrt(3)hati + hatj with the x-axis i...

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