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If (bar(a)xx bar(b))xx(bar(b)xx bar( c )...

If `(bar(a)xx bar(b))xx(bar(b)xx bar( c ))=bar(b)`, where `bar(a),bar(b),bar( c )` are non zero vectors, then …………..

A

`bar(a),bar(b),bar( c )` are coplanar vectors.

B

`bar(a),bar(b),bar( c )` may be coplanar vectors.

C

`bar(a),bar(b),bar( c )` are not coplanar vectors.

D

can not say anything.

Text Solution

Verified by Experts

The correct Answer is:
C
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bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….

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

(bar(a)xx bar(b))^(2) = ……………..

bar(d)=lambda(bar(a)xx bar(b))+mu(bar(b)xx bar( c ))+v(bar( c )xx bar(a)) and [bar(a)bar(b)bar( c )]=(1)/(8) then lambda+mu+v = …………..

If bar( r ).bar(a)=0,bar( r ).bar(b)=0 and bar( r ).bar( c )=0 for some non-zero vector bar( r ) , then the value of bar(a).(bar(b)xx bar( c )) is ……………..

For a vector bar(a),bar(a)xx vec( r )=bar(j) then bar(a).bar( r ) = ………….

For three vectors bar(a),bar(b) and bar( c ),bar(a)xx(bar(b)xx bar( c ))=(bar(a)xx bar(b))xx bar( c ) then

bar( r )xx bar(a)=bar(b)xx bar(a),bar( r )xx bar(b)=bar(a)xx bar(b),bar(a) ne bar(0),bar(b) ne bar(0)bar(a)ne lambda bar(b) . If bar(a).bar(b)=0 then bar( r ) = ………….

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If bar(a)=hati+hatj+hatk,bar(b)=hati+hatj,bar( c )=hati and (bar(a)xx ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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