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hati*(hatkxx hatj)+hatj*(hati xx hatk)+h...

`hati*(hatkxx hatj)+hatj*(hati xx hatk)+hatk*(hatj xx hati)+hati*(hati xx hatj)+hatj*(hatj xx hatk)` = ………..

A

`-1`

B

1

C

3

D

`-3`

Text Solution

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The correct Answer is:
D
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hati*(hatj xx hatk)+hatj*(hati xx hatk)+hatk*(hati xx hatj) =……………

The value of hati.(hatj xx hatk)+hatj.(hati xx hatk)+hatk.(hati xx hatj) is ……..

If vec(a).hati=4 then (vec(a)xx hatj).(2hatj-3hatk)= ………..

Find the direction cosines of the resultant of the vectors (hati+hatj+hatk),(-hati+hatj+hatk),(hati-hatj+hatk) and (hati+hatj-hatk) .

If vec(u)=hati xx(vec(a)xx hati)+hatj xx(vec(a)xx hatj)+hatk xx(vec(a)xx hatk) then vec(u) = ………..

The angle between vectors (hati+hatj) and (hatj+hatk) is :

The volume of the tetrahedron whose vertices hati-6hatj+10hatk,-hati-3hatj+7hatk,5hati-hatj+lambda hatk and 7hati-4hatj+7hatk is 11 ("unit")^(3) then lambda = …………..

Find the angle between the following pairs of lines : (i) vecr=2hati-5hatj+hatk+lambda(3hati+2hatj+6hatk) and veck=7hati-6hatk+mu(hati+2hatj+2hatk) (ii) vecr=3hati+hatj-2hatk+lambda(hati-hatj-2hatk) and vecr=2hati-hatj-56hatk+mu(3hati-5hatj-4hatk)

The angle between the vectors (hati+hatj) and (hatj+hatk) is

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

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  2. If 4bar(a)+5bar(b)+9bar( c )=0 then (bar(a)xx bar(b))xx[(bar(b)xx bar(...

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  3. vec(a),vec(b) and vec( c ) are non zero vectors. (vec(a)xx vec(b))xx v...

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  4. If vec(a) is a unit vector and vec(b)=(2,1,-1) and vec( c )=(1,0,3). T...

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  5. The volume of the parallelepiped with edges -12hati+alpha hatk,3hatj-h...

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  6. bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….

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  7. vec(a)|vec(b) and vec(c),|vec(a)|=2,|vec(b)|=3,|vec( c )|=4. The angle...

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  8. (vec(a)xx vec(b))xx vec( c )=vec(a)xx(vec(b)xx vec( c )). If vec(a)*ve...

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  9. vec(u),vec(v) and vec(w) are not co-planar vectors and p and q are rea...

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  10. Let vec(X),vec(Y) and vec(Z) be three vectors such that |vec(X)|=|vec(...

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  11. Let vec(X),vec(Y) and vec(Z) be three vectors such that |vec(X)|=|vec(...

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  12. Let vec(X),vec(Y) and vec(Z) be three vectors such that |vec(X)|=|vec(...

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  13. Measure of the angle between the vector vec(a)=hati-hatj+hatk and vec(...

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  14. If vec(a)=hati+2hatj+hatk and vec(b)=hati-2hatj-3hatk then (vec(a)+vec...

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  15. Find the area of a parallelogram whose adjacent sides are given by the...

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  16. Let |vec(x)|=|vec(y)|=|vec(x)+vec(y)| =1 and if measure of the angle b...

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  17. hati*(hatkxx hatj)+hatj*(hati xx hatk)+hatk*(hatj xx hati)+hati*(hati ...

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  18. For three vectors vec(a),vec(b) and vec( c ),vec(a)+vec(b)+vec( c )=ve...

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  19. A vector vec(a)=alpha hati+2hatj+beta hatk(alpha, beta in R) lies in t...

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  20. Let vec(a),vec(b) and vec( c ) be three unit vectors such that vec(a),...

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