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the unit vector orthogonal to vector -ha...

the unit vector orthogonal to vector `-hati+2hatj+2hatk` and making equal angles with the x- and y-axes is

A

`+-1/3(2hati + 2hatj - hatk)`

B

`+-1/3(hati + hatj - hatk)`

C

`+- 1/3(2hati - 2hatj - hatk)`

D

None of these

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A
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The units vectors orthogonal to the vector - hat i + 2hat j + 2hat k and making equal angles with the X and Y axes islare) :

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The unit vector which is orthogonal to the vector 5hati + 2hatj + 6hatk and is coplanar with vectors 2hati + hatj + hatk and hati - hatj + hatk is (a) (2hati - 6hatj + hatk)/sqrt41 (b) (2hati-3hatj)/sqrt13 (c) (3 hatj -hatk)/sqrt10 (d) (4hati + 3hatj - 3hatk)/sqrt34

The unit vector which is orhtogonal to the vector 3hati+2hatj+6hatk and is coplanar with vectors 2hati+hatj+hatk and hati-hatj+hatk , is

Unit vector perpnicular to vector A=-3hati-2hatj -3hatk and 2hati + 4hatj +6hatk is

A vector vecc of magnitude sqrt(7) which is perpendicular to the vector veca=2hatj-hatk and vecb=-hati+2hatj-3hatk and makes an obtuse angle with the y-axis is given by

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Find the unit vector perpendicular to the two vectors hati+2hatj-hatk and 2hati+3hatj+hatk .

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The angles which the vector A=3hati + 6hatj+2hatk makes with the co-ordinate axes are

VMC MODULES ENGLISH-VECTORS -LEVEL -1
  1. If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb ...

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  2. The moment of the couple formed by forces 5hati+hatk and -5hati-hatk a...

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  3. the unit vector orthogonal to vector -hati+2hatj+2hatk and making equa...

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  4. ABCD is a parallelogram with vec(AC) = hati - 2hatj + hatk and vec(BD)...

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  5. If veca and vecb are unit vectors and theta is the angle between them ...

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  6. Let vecp = 3ax^(2) hati - 2(x-1)hatj, q=b(x-1)hati + xhatj and ab lt 0...

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  7. Let vecu, vecv and vecw be such that |vecu|=1,|vecv|=2 and |vecw|=3 if...

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  8. Let vecu= hati + hatj , vecv = hati -hatja and hati -hatj and vecw =ha...

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  9. Let veca = hati + hatj + hatk and let vecr be a variable vector such t...

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  10. veca and vecc are unit collinear vectors and |vecb|=6, then vecb-3vecc...

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  11. If vece(1) = ( 1,1,1) and vece(2) = ( 1,1,-1) and veca and vecb are tw...

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  12. The length of the longer diagonal of the parallelogram constructed on ...

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  13. A , B , Ca n dD are any four points in the space, then prove that |...

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  14. Let vec O A= vec a , vec O B=10 vec a+2 vec b ,a n d vec O C=bw h e r...

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  15. ABCDEF is a regular hexagon with centre a the origin such that vec(AB)...

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  16. ABCD a parallelogram, and A1 and B1 are the midpoints of sides BC and ...

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  17. The vertices of a triangle have the position vectors veca,vecb,vecc an...

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  18. If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc...

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  19. Vectors veca,vecb and vecc are of the same length and when taken pair-...

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  20. If three vectors veca, vecb,vecc are such that veca ne 0 and veca xx v...

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