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If the vectors hat(i)+hat(j)+hat(k) make...

If the vectors `hat(i)+hat(j)+hat(k)` makes angle `alpha, beta and gamma` with vectors `hat(i), hat(j) and hat(k)` respectively, then

A

`alpha=beta ne gamma`

B

`alpha=gammanebeta`

C

`beta=gammanealpha`

D

`alpha=beta=gamma`

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Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
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  2. If the angle between the vectors a and b be theta and a*b=costheta the...

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  3. If the vectors hat(i)+hat(j)+hat(k) makes angle alpha, beta and gamma ...

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  4. (r*hat(i))^(2)+(r*hat(j))^(2)+(r*hat(k))^(2) is equal to

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  5. If hat a and hatb are two unit vectors inclined at an angle theta, the...

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  6. If vec A=4 hat i+6 hat j and vec B=3 hat j+4 hat k , then find the co...

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  7. If vectors a=2hat(i)-3hat(j)+6hat(k) and vector b=-2hat(i)+2hat(j)-hat...

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  8. If veca and vecb are two vectors , then prove that (vecaxxvecb)^(2)=|{...

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  9. The moment of the force F acting at a point P, about the point C is

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  10. The moment of a force represented by F=hat(i)+2hat(j)+3hat(k) about th...

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  11. A force of magnitude 6 acts along the vector (9, 6, -2) and passes thr...

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  12. A force F=2hat(i)+hat(j)-hat(k) acts at point A whose position vector...

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  13. If a, b and c are any three vectors and their inverse are a^(-1), b^(-...

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  14. If a, b and c are three non-coplanar vectors, then find the value of (...

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  15. atimes(btimesc) is coplanar with

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  16. If u=hat(i)(atimeshat(i))+hat(j)(atimeshat(j))+hat(k)(atimeshat(k)), t...

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  17. If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat...

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  18. If atimes(btimesc)=0, then

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  19. A vectors which makes equal angles with the vectors 1/3(hati - 2hatj ...

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  20. Find by vector method the horizontal force and the force inclined at a...

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