If the vectors 3hati-2hatj-hatk,2hati-3h...

If the vectors `3hati-2hatj-hatk,2hati-3hatj-4hatk,-hati+hatj+2hatk` and `4hati+5hatj+lambda hatk` are in the same plane then `lambda` = ………….

A

`-(146)/(17)`

B

`(146)/(17)`

C

`(-17)/(146)`

D

`(17)/(147)`

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The correct Answer is:

A

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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )

If the unit bar(a),bar(b) and bar( c ) are coplanar then …………..
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If bar(a),bar(b) and bar( c ) are not coplanar then (bar(a)+bar(b)+b...
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If the vectors 3hati-2hatj-hatk,2hati-3hatj-4hatk,-hati+hatj+2hatk and...
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If the unit vectors bar(a),bar(b) and bar( c ) are coplanar then [2ba...
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vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk,vec( c )=hati+hatj-2hatk...
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bar(a),bar(b) and bar( c ) are non zero vectors. |(bar(a)xx bar(b))*...
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bar(d)=lambda(bar(a)xx bar(b))+mu(bar(b)xx bar( c ))+v(bar( c )xx bar(...
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The volume of the tetrahedron whose vertices hati-6hatj+10hatk,-hati-3...
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bar(a),bar(b) and bar( c ) are three non zero, non planar vectors. bar...
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bar(a)=(1,2,-3),bar(b)=(2,1,-1). The vector bar(mu) is such that bar(a...
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bar(a)=a(1)hati+a(2)hatj+a(3)hatk,bar(b)=b(1)hati+b(2)hatj+b(3)hatk,ba...
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The adjacent sides of the parallelogram are bar(a)=3bar(alpha)-bar(bet...
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bar(alpha)=2hati+3hatj-hatk,bar(beta)=-hati+2hatj-4hatk and bar(gamma)...
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If bar(mu)=hati xx(bar(a)xx hati)+hatj xx(bar(a)xx hatj))+hatk xx(bar(...
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bar(a),bar(b) and bar( c ) are three unit vectors. bar(a)|bar(b) and b...
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bar(a)=2hati+hatj-2hatk and bar(b)=hati+hatj. The vector bar( c ) is s...
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The vectors bar(a) and bar(b) are perpendicular then bar(a)xx{bar(a)xx...
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If bar(a),bar(b),bar( c ) and bar(d) are coplanar vectors then (bar(a)...
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bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….
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For three vectors bar(a),bar(b) and bar( c ),bar(a)xx(bar(b)xx bar( c ...
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