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

`vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk,vec( c )=hati+hatj-2hatk`. The vector `vec( r )` is coplanner with vector `vec(b)` and `vec( c )`. If the magnitude of the projection `vec( r )` on `vec(a)` is `sqrt((2)/(3))` then `vec( r )` = …………..

A

`2hati+3hatj-3hatk`

B

`-2hati-hatj+5hatk`

C

`2hati+3hatj+3hatk`

D

`2hati+hatj+5hatk`

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The correct Answer is:
B
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If vec(a)=2hati+hatj+3hatk,vec(b)=-hati+2hatj+hatk and vec( c )=3hati+hatj+2hatk then find vec(a).(vec(b)xx vec( c )) .

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Show that the vectors vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk and vec( c )=hati-hatj+5hatk are coplannar.

vec(a)=hatj-hatk and vec( c )=hati-hatj-hatk . The vector vec(b) is such that vec(a) xx vec(b)+vec( c )=0 and vec(a)*vec(b)=3 then vec(b) = ………..

Show that the vectors, vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk and vec( c )=hati-3hatj+5hatk are coplanar.

Vector vec(a)=hati-hatj,vec(b)=hati+hatj+hatk . The vector vec( c ) is such that vec(a)xx vec( c )+vec(b)=0 and vec(a).vec( c )=4 then |vec( c )|^(2) = ……………

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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. The unit vectors vec(a),vec(b) and vec( c ) are not coplanar. If vec(a...

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  2. If vec(x)+vec(y)+vec(z)=0 and |vec(x)|=|vec(y)|=|vec(z)|=2 If the angl...

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

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  4. vec(a)=hati+hatj+sqrt(2)hatk,vec(b)=b(1)hati+b(2)hatj+sqrt(2)hatk and ...

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  5. vec(a)=2hati+lambda(1)hatj+3hatk,vec(b)=4hati+(3-lambda(2))hatj+6hatk ...

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  6. squareABCD is a parallelogram vec(AB)=bar(q),vec(AD)=bar(p),angleBAC i...

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  7. The position vectors of A, B and C are 2hati-hatj+hatk,hati-3hatj-5hat...

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  8. A particle is acted upon constant forces vec(F)(1)=4hati+hatj-3hatk an...

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  9. Let vec(u),vec(v) and vec(w) be such that |vec(u)|=1,|vec(v)|=2,|vec(w...

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  10. The centroid of DeltaABC is G. The angle between vec(GB) and vec(GC) i...

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  11. The area of the parallelogram whose diagonals are hatj+hatk and hati+h...

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  12. The area of the parallelogram whose adjacent side is hati+hatk and hat...

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  13. If bar(x) and bar(y) are non zero, non collinear vector then the numbe...

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  14. If |bar(x).bar(y)|=cos alpha, then |bar(x)xx bar(y)| = …………….

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  15. If bar(a)=(2,0,1) and bar(b)=(1,1,1) then sin(bar(a)""(,)^(hat)bar(b))...

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  16. The unit vector perpendicular to both the vectors (3, -1, 0) and (-2, ...

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  17. The area of the parallelogram with diagonals hati+hatj and hatj+hatk i...

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  18. The angle between the vectors (2,-1,1) and (1,-1,2) is ……………

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  19. If |bar(x)|=7.|bar(y)|=sqrt(2),bar(x)xx bar(y)=(6,2,3) then |bar(x).ba...

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  20. The unit vector perpendicualr to both the vectors hati+2hatj-2hatk and...

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