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For a vector bar(a),bar(a)xx vec( r )=ba...

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

A

`-1`

B

0

C

1

D

None of these

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The correct Answer is:
D
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If bar(a)=bar(i)+bar(j)+bar(k) and bar(b)=bar(j)-bar(k) , then find a vector vec( c ) such that bar(a)xx bar( c )=bar(b) and bar(a).bar( c )=3 .

The number of vectors of unit length perpendicular to the vectors bar(a)=2bar(i)+bar(j)+2bar(k) and bar(b)=bar(j)+bar(k) is ………….

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

(bar(a)xx bar(b))^(2) = ……………..

bar(a),bar(b) and bar( c ) are non zero vectors. |(bar(a)xx bar(b))*bar( c )|=|bar(a)||bar(b)||bar( c )| then ……………

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 )) = …………….

For vectors bar(a),bar(b),bar( c ),|bar(a)-bar( c )|=|bar(b)-bar( c )| then the value (bar(b)-bar(a)).(bar( c )-(bar(a)+bar(b))/(2))= ………..

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 ) = ………….

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(a)=(1,2,-3),bar(b)=(2,1,-1) . The vector bar(mu) is such that bar(a)xx bar(mu)=bar(a)xx bar(b) and bar(a).bar(mu)=0 then |bar(mu)| = ………..

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. bar(a),bar(b) and bar( c ) are unit vectors. bar(a).bar(b)=0=bar(a).ba...

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  2. The modulus of the vectors bar(a) and bar(b) are 2 and 3 respectively....

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

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  4. If bar(mu)=bar(a)-bar(b),bar(v)=bar(a)+bar(b),|bar(a)|=|bar(b)|=2 then...

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  5. In a parallelogram ABCD, vec(AB)=hati+hatj+hatk and diagonal vec(AC)=h...

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  6. The points A(vec(a)),B(vec(b)) and C(vec( c )) are collinear then …………...

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  7. For any vectors vec(a),vec(b) and vec( c ). Out of the following, whic...

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  8. bar(a)=2hati+hatj-2hatk and bar(b)=hati+hatj. The vector bar( c ) is s...

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  9. In a quadrilateral ABCD, vec(AB)=vec(b),vec(AD)=vec(d) and vec(AC)=m v...

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  10. If vec(a)=2hati+hatj+x hatk and vec(b)=hati+hatj-hatk then the minimum...

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

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  12. vec(a),vec(b) and vec( c ) are unit vectors vec(a)xx(vec(b)xx vec( c )...

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

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  14. For the vectors vec(x) and vec(y),vec(x)+vec(y)=vec(a),vec(x)xx vec(y)...

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  15. Vector vec(a)=hati-hatj,vec(b)=hati+hatj+hatk. The vector vec( c ) is ...

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  16. The vectors vec(a) and vec(b) are not perpendicular. The vectors vec( ...

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  17. vec(a)=hatj-hatk and vec( c )=hati-hatj-hatk. The vector vec(b) is suc...

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  18. For any vector vec(a),(vec(a)xx vec(i))^(2)+(vec(a)xx hatj)^(2)+(vec(a...

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  19. vec(a),vec(b) and vec( c ) are three vector vec(a)ne0 and |vec(a)|=|ve...

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  20. For any vecotr vec(a), The value of hati xx(vec(a)xx hati)+j xx(vec(a)...

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