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If hat(i)+hat(j), hat(j)+hat(k), hat(i)+...

If `hat(i)+hat(j), hat(j)+hat(k), hat(i)+hat(k)` are the position vectors of the vertices of a `Delta ABC` taken in order, then `angleA` is equal to

A

`pi/2`

B

`pi/5`

C

`pi/6`

D

`pi/3`

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The correct Answer is:
D
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. If vecp,vecq and vecr are perpendicular to vecq + vecr , vec r + vecp...

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  2. If veca =hati + hatj - hatk, vecb = 2hati + 3hatj + hatk and vec c = h...

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  3. If hat(i)+hat(j), hat(j)+hat(k), hat(i)+hat(k) are the position vector...

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  4. If veca and vecb are non colinear vectors, then the value of alpha for...

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  5. If angle between veca = hati - 2hatj + 3hatk and vecb = 2hati + hatj ...

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

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  7. Find the unit vector parallel to the resultant vector of 2hati+4hatj-5...

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  8. If the middle points of sides BC, CA and AB of triangle ABC are respec...

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  9. Find the length diagonal AC of a prallelogram ABCD whose two adjacent ...

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  10. If f is the centre of a circle inscribed in a triangle ABC, then |vec...

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  11. Let vec a, vec b and vec c are vectors of magnitude 3,4,5 respectively...

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  12. If veca , vecb , vec c are any three coplanar unit vectors , then :

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  13. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

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  14. Let vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk. I...

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  15. If vectors a=4hat(i)-3hat(j)+6hat(k) and vector b=-2hat(i)+2hat(j)-hat...

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  16. A vector of magnitude 14 lies in the xy-plane and makes an angle of 60...

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  17. If veca,vecb,vec c are unit vectors such that veca+vecb+vec c= vec0 fi...

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  18. The two variable vectors 3xhati+yhatj-3hatk and xhati-4yhatj+4hatk are...

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  19. Angle between the vectors sqrt3(veca xx vec b) " and " vec b - (veca ....

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  20. If the vector veca = (2 ,log3 x ,a ) and vecb = (-3,a log3x,log3x) are...

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