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If p(hati+hatj+hatk) is a unit vector, t...

If `p(hati+hatj+hatk)` is a unit vector, then `p` is equal to :

A

`- 1/(sqrt3)`

B

`1/(sqrt3)`

C

`+ 1/(sqrt3)`

D

None of these.

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The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of vectors 2hati+4hatj-5hatk and lambdahati+2hatj+3hatk is equal to one. Find the value of lambda .

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The scalar product of the vector veca=hati+hatj+hatk with a unit vector along the sum of vectors vecb=2hati+4hatj-5hatk and vecc=lambdahati+2hatj+3hatk is equal to one. Find the value of 'lambda' and hence find the unit vector along vecb+vecc .

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MODERN PUBLICATION-VECTORS-Exercise
  1. The angle between veca and vecb if vecaxxvecb=veca*vecb is :

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  2. The value of 'lambda' for which the vectors : veca=2hati+3hatj-hatk an...

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  3. If p(hati+hatj+hatk) is a unit vector, then p is equal to :

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  4. The value of 'lambda' for which the vectors : veca=3hati+hatj-2hatk an...

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  5. If veca=2hati+3hatj-5hatk and vecb=hati+hatj-hatk, then veca*vecb is :

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  6. Magnitude of the vector vec(PQ), joining the points P(2,3,0) and Q(1,-...

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  7. If veca*vecb=-|veca|*|vecb|, then theta=,

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  8. If veca is a non-zero vector of magnitude 'a' and 'lambda' is a non-ze...

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  9. The value of hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) is ...

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  10. The projection of veca=2hati-hatj+hatk on vecb=hati-2hatj+hatk is equa...

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  11. If |veca*vecb|=|vecaxxvecb|, then the angle between veca and vecb is :

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  12. Let veca=hati-2hatj+3hatk. If vecb be a vector such that : veca*vecb=|...

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  13. If veca,vecb,vecc are three non-zero vectors such that each one of the...

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  14. If veca=hati+2hatj+2hatk, |vecb|=5 and the angle between veca and vceb...

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  15. If veca*vecb=0 and veca+vecb makes an angle of 60^@ with veca, then :

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  16. The area of the parallelogram whose adjacent sides are hati+hatk and 2...

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  17. If the projection of vecb on veca is twice the projection of veca on v...

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  18. If (vecaxxvecb)^2+(veca*vecb)^2=144 and |veca|=4, then |vecb|=

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  19. The non-zero vectors veca,vecb and vecc are related by veca=8vecb and ...

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  20. The edges of a parallelopiped are of unit length and are parallel to ...

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