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If `bar(a)=hati+hatj+hatk,bar(b)=hati+hatj,bar( c )=hati` and `(bar(a)xx bar(b))xx bar( c )=lambda bar(a)+mu bar(b)` then `lambda+mu` = …………

A

0

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1

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2

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3

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(bar(a)xx bar(b))^(2) = ……………..

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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),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)=(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)| = ………..

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 ) = ………….

If bar(a),bar(b) and bar( c ) are not coplanar then (bar(a)+bar(b)+bar( c ))*[(bar(a)+bar(b)) times (bar( a )+bar(c))] = ……………

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….

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  2. For three vectors bar(a),bar(b) and bar( c ),bar(a)xx(bar(b)xx bar( c ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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