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For some non zero vector vecv, if the su...

For some non zero vector `vecv`, if the sum of `vecv` and the vector obtained from `vecv` by rotating it by an angle `2alpha` equals to the vector obtained from `vecv` by rotating it by `alpha` then the value of `alpha`, is

A

`2npipm(pi)/(3)`

B

`npipm(pi)/(3)`

C

`2npipm(2pi)/(3)`

D

`npipm(2pi)/(3)`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
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  3. For some non zero vector vecv, if the sum of vecv and the vector obtai...

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  4. In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divid...

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  5. Given an equilateral triangle ABC with side length equal to 'a'. Let M...

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  6. In a quadrilateral ABCD, AC is the bisector of the (AB, AD) which is (...

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  7. If the distance from the point P(1, 1, 1) to the line passing through ...

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  8. Given the vectors vec u=2 hat i-hat j-hat k and vec v=hat i-hat j+2ha...

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  9. Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b...

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  10. Let vec a= hat j+hat j,vec b=hat j+hat k and vec c=alpha vec a+beta v...

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  11. A rigid body rotates about an axis through the origin with an angular ...

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  12. A rigid body rotates with constant angular velocity omega about the li...

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  13. Consider DeltaABC with A=(veca);B=(vecb) and C=(vecc). If vecb.(veca+v...

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  14. Given unit vectors m, n and p such that angle between m and n. Angle b...

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  15. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

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  16. If veca and vecb are othogonal unit vectors, then for a vector vecr no...

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  17. If vector vec i+ 2vec j + 2vec k is rotated through an angle of 90^@...

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  18. 10 different vectors are lying on a plane out of which four are parall...

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  19. If hat(a) is a unit vector and projection of x along hat(a) is 2 units...

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  20. If veca, vecb and vecc are any three non-zero vectors, then the compon...

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