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[bar(a)xx bar(b)" "bar(a)xx bar( c )" "b...

`[bar(a)xx bar(b)" "bar(a)xx bar( c )" "bar(d)]` = …………….

A

`(bar(a)*bar(d))[bar(a)bar(b)bar( c )]`

B

`(bar(a)*bar( c ))[bar(a)bar(b)bar( c )]`

C

`(bar(a)*bar(b))[bar(a)bar(b)bar( c )]`

D

None of these

Text Solution

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The correct Answer is:
A
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If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) = ……………

If bar(a)+bar(b)+bar( c )=0 , then show that bar(a)xx bar(b)=bar(b)xx bar( c )=bar( c )xx bar(a) . Interpret the result geometrically.

bar(a),bar(b) and bar( c ) are three unit vectors. bar(a)_|_bar(b) and bar(a)||bar( c ) then bar(a)xx(bar(b)xx bar( c )) = …………….

bar(a),bar(b) and bar( c ) are unit vectors. bar(a).bar(b)=0=bar(a).bar( c ) and the angle between bar(b) and bar( c ) is (pi)/(3) . Then |bar(a)xx bar(b)-bar(a)xx bar( c )|= …………..

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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. For three vectors bar(a),bar(b) and bar( c ),bar(a)xx(bar(b)xx bar( c ...

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  2. If bar(a)=hati+hatj+hatk,bar(b)=hati+hatj,bar( c )=hati and (bar(a)xx ...

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  3. [bar(a)xx bar(b)" "bar(a)xx bar( c )" "bar(d)] = …………….

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  4. If (bar(a)xx bar(b))xx(bar(b)xx bar( c ))=bar(b), where bar(a),bar(b),...

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  5. If bar(a),bar( c ) and bar(d) are not coplanar vectors and bar(d).(bar...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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