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The vector hat(i)+xhat(j)+3hat(k) is rot...

The vector `hat(i)+xhat(j)+3hat(k)` is rotated through an angle `theta` and doubled in magnitude then it becomes `4hat(i)+(4x-2)hat(j)+2hat(k)`. The value of x is

A

`-(2)/(3)`

B

`(2)/(3)`

C

`(1)/(3)`

D

2

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The correct Answer is:
D
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MOTION-VECTOR -EXERCISE - 2 ( LEVEL -I)
  1. If a, b, c are then p^(th),q^(th),r^(th), terms of an HP and vec u=...

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  2. If the unit vectors vec(e(1)) and vec(e(2)) are inclined at an ang...

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  3. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  4. Let vec(u) = hat(i) + hat(j), vec(v) = hat(i) - hat(j) and vec(w) = h...

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  5. In a quadrilateral ABCD. vec(AC) is the bisector of vec(AB) and vec(...

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  6. If vec a =vec b +vec c,vec b xx vec d =vec 0 ,vec c *vec d = 0 then ...

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  7. Consider a tetrahedron with faces f1, f2, f3, f4. Let vec a1, vec a2...

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  8. Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(...

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  9. Points L, M and N lie on the sides AB, BC and CA of the triangle ABC s...

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  10. For any four points P,Q,R,S |bar(PQ) xx bar(RS) - bra(QR) xx bar(PS) ...

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  11. Given vec(a) = xhat(i) + yhat(j) + 2hat(k) , vec(b) = hat(i) - hat(j)...

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  12. Let vec r be a vector perpendicular to vec a + vec b+ vec c, where [ve...

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  13. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equal...

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  14. If the vectors a hat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k) and hat(i...

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  15. (vec(d) + vec(a)).(vec(a) xx (vec(b) xx (vec(c) xx vec(d)))) simplifie...

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  16. [(vec(a) xx vec(b)) xx (vec(b) xx vec(c)), (vec(b) xx vec(c)) xx (vec(...

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  17. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

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  18. The vectors vec(a) = - 4hat(i) + 3hat(k), vec(b)

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  19. Prove that : (vec(a) + vec(b)). { (vec(b)+vec(c))xx (vec(c)+vec(a))}...

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  20. The vector hat(i)+xhat(j)+3hat(k) is rotated through an angle theta an...

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