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Given vec(A) = 2hat(i) + 4hat(j) -6hat(k...

Given `vec(A) = 2hat(i) + 4hat(j) -6hat(k)`. When a vector `vec(B)` is added to `vec(A)` , we get a unit vector along x-axis. Then `vec(B)` is :

A

`hat(i) + 2hat(j) - 3hat(k)`

B

`-hat(i) - 4 hat(j) + 6hat(k)`

C

`-hat(i) - 2hat(j) + 6hat(k)`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(B) + (2hati +4hatj-6hatj)=hati`
`vec(B)=-hati-4hatj+6hatk`
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MODERN PUBLICATION-DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION-Revision TEST
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  3. The position vectors of the head and tail of radius vector are 2hati+h...

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  4. Given vec r=2 hat i+hat j+hat k and vec P=2 hat i+3 hat j+hat k angula...

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  5. The angle between two vectors vec A =vec B is theta. The resultant of ...

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  13. If resultant of two forces vec F and vec F is F. The angle between two...

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  14. A ball is projected at an angle 30° with the horizontal. What is the c...

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  17. If the magnitude of the vector product is sqrt(3) times the magnitude ...

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  18. If vec(A).vec(B)=|vec(A)xxvec(B)|, then the resultant of vec(A) and ve...

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  19. A ball is projected from a certain point on the surface of a planet at...

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  20. The vector which must be added to the sum of the two vectors hat i+2 h...

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