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The vector hati + hatj + 3 hatk is rota...

The vector `hati + hatj + 3 hatk ` is rotated through an angle `theta` and is doubled in magnitude, then it becomes `4 hati + (4x -2 ) hatj + 2hatk.` The value of x is :

A

minus 2/3,2

B

1/3,2

C

2/3,0

D

2,7

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The correct Answer is:
A
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
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  2. If the vectors vec c , veca = x hati + y hatj + z hatk and vecb = hatj...

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  3. The vector hati + hatj + 3 hatk is rotated through an angle theta and...

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  4. If vec u, vec nu, vec w are three non-coplanar vectors, then (vec u + ...

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  5. If vec u = i+j, vec nu = i-j, and vec w = i+2j+3k. If hat n is a unit ...

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  6. The vectro vec(AB)= 3 hatj + 4 hatk and vec(AC) = 5 hati - 2 hatj + 4 ...

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  7. vec a, vec b, vec c are three vectors such that vec a + vec b + vec c ...

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  8. A particle acted by constant forces 4 hati + hatj - 3 hatk and 3 hati ...

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  9. If veca, vecb, vecc are non-coplanar vectors and lamda is a real numbe...

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  10. Let vec a, vec b and vec c be three non zero vectors such that no two ...

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  11. If vec u, vec nu, vec w be such that |vec u| =1, |vec nu| = 2, |vec w|...

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  12. Let veca,vecb and vec c be three non zero vectors such that no two o...

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  13. If vec a = i-k, vec b = i+j+(1-x)k and vec c = yi+xj+(1+x-y)k then [ve...

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  14. If a, b and c be distinct non negative numbers. If the vectors ai+aj+c...

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  15. For any vector vec a, the value of (vec a xx i)^(2) + (vec a xx j)^(2)...

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  16. If C is the mid-point of AB and P is an7y pont outside AB, then :

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  17. If (vec a xx vec b) xx vec c = vec a xx (vec b xx vec c), where vec a,...

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  18. The values of 'a' for which the points A, B, C with position vectors 2...

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  19. Let vec a, vec b and vec c of magnitudes 3,4 and 5 repectively. If vec...

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  20. If ai+j+k, i+bj+k and i+j+ck are coplanar, then

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