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A unit vector int eh plane of the vector...

A unit vector int eh plane of the vectors `2hati+hatj+hatk, hati-hatj+hatk` and orthogonal to `5hati+2hatj-6hatk` is (A) `(6hati-5hatk)/sqrt(6)` (B) `(3hatj-hatk)/sqrt(10)` (C) `(hati-5hatj)/sqrt(29)` (D) `(2hati+hatj-2hatk)/3`

A

`(6hati-5hatk)/(sqrt61)`

B

`(3hatj-hatk)/(sqrt10)`

C

`(2hati-5hatk)/(sqrt29)`

D

`(2hati+hatj-2hatk)/(3)`

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The correct Answer is:
B
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...

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  2. The value of a so that the volume of the paralelopiped formed by hati+...

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  3. A unit vector int eh plane of the vectors 2hati+hatj+hatk, hati-hatj+h...

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  4. If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vec...

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  5. If veca,vecb,vecc,vecd are four distinct vectors satisfying the condit...

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  6. Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-h...

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  7. Let vecA be a vector parallel to the of intersection of planes P1 and ...

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  8. The number of distinct values of lamda, for which the vectors -lamda^(...

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  9. Let veca, vecb ,vecc be unit vetors such that veca + vecb + vecc = ve...

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  10. Assertion: vec(PQ)xx(vec(RS)+vec(ST))!=0, Reason : vec(PQ)xxvec(RS)=ve...

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

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  12. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(ve...

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  14. Let P, Q, R and S be the points on the plane with position vectors -2h...

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  15. If veca and vecb are vectors in space given by veca=(hati-23hatj)/(sqr...

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  16. Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj...

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  17. The vectors which is/are coplanar with vectors hati+hatj+2hatk and hat...

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  18. Let veca=-hati-hatk, vecb=-hati+hatj and vecc=hati+2hatj+3hatk be th...

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  19. Let bar(PR)=3hati+hatj-2hatk and bar(SQ)=hati-3hatj-4hatk determine d...

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  20. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

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