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The unit vector in the direction of the ...

The unit vector in the direction of the sum of the vectors `(1, 1, 1),(2, -1,-1)` and (0, 2, 6) ………..

A

`-(1)/(7)(3,2,6)`

B

`(1)/(49)(3,2,6)`

C

`(1)/(7)(3,-2,6)`

D

`(1)/(7)(3,2,6)`

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The correct Answer is:
D
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. The direction of vector vec(b) is North-East and that vec( c ) is Nort...

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  2. If bar(x)=(-1,4,-2),bar(y)=(-4,16,-8) then |bar(x)+bar(y)|…………|bar(x)|...

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  3. The unit vector in the direction of the sum of the vectors (1, 1, 1),(...

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  4. The vector 2hati+2hatj-hatk makes ………………measure of angles with the axe...

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  5. The unit vector in the direction 6hati-2hatj+3hatk is ………….

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  6. The unit vector parallel to the vecotr bar(a)-bar(b) is ……………. where...

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  7. If bar(a)=(1,1,1),bar(b)=(4,-2,3) and bar( c )=(1,-2,1) then the vect...

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  8. The unit vector in the opposite direction of bar(x)+bar(y)-2bar(z) is ...

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  9. The vector with magnitude 17sqrt(2) and in the opposite direction of (...

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  10. Out of the following …………. Is the unit vector in the direction of (3ha...

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  11. The position vector of the point P is (4, 5, -3). The distance of the ...

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  12. The position vector of a point A is (4, 2, -3). If the distance of the...

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  13. vec(a)=hati+hatj+hatk,vec(b)=hati-hatj+hatk and vec( c )=hati+2hatj-...

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  14. A(1, 1, 2), B(4, 3, 1) and C(2, 3, 5) are vertices of a triangle ABC. ...

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  15. The position vectors of two points A and B are respectively 6vec(a)+2v...

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  16. The position vectors of the vertices of triangle are 3hati+4hatj+5hatk...

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  17. The angle between the unit vectors vec(a) and vec(b) is 2theta. Where ...

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  18. squareABCD is a parallelogram. (A(1)) and B(1) are midpoints of the si...

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  19. In DeltaABC,vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk. Length ...

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  20. If bar(x)=(a,4,2a) and bar(y)=(2a,-1,a) are perpendicualr to each othe...

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