bar(a),bar(b) and bar( c ) are three uni...

`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)`

`bar( c )`

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(bar(a)xx bar(b))^(2) = ……………..

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

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 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 )|= …………..

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 ……………

If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)+bar( c )=bar(0) , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)=…………

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

bar(a),bar(b) and bar( c ) are three non zero, non planar vectors. bar(p)=bar(a)+bar(b)-2bar( c ),bar(q)=3bar(a)-2bar(b)+bar( c ) and bar( r )=bar(a)-4bar(b)+2bar( c ) . The volume of the parallelepiped formed by the vectors bar(a),bar(b) and bar( c ) is V_(1) and the volume of the parallelepiped formed by the vectors bar(p),bar(q) and bar( r ) is V_(2) then V_(2):V_(1) = .............

The vectors bar(a) and bar(b) are perpendicular then bar(a)xx{bar(a)xx{bar(a)xx(bar(a)xx bar(b))}} = ………….

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

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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If bar(a)=hati+hatj+hatk,bar(b)=hati+hatj,bar( c )=hati and (bar(a)xx ...
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[bar(a)xx bar(b)" "bar(a)xx bar( c )" "bar(d)] = …………….
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If (bar(a)xx bar(b))xx(bar(b)xx bar( c ))=bar(b), where bar(a),bar(b),...
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If bar(a),bar( c ) and bar(d) are not coplanar vectors and bar(d).(bar...
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If 4bar(a)+5bar(b)+9bar( c )=0 then (bar(a)xx bar(b))xx[(bar(b)xx bar(...
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vec(a),vec(b) and vec( c ) are non zero vectors. (vec(a)xx vec(b))xx v...
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If vec(a) is a unit vector and vec(b)=(2,1,-1) and vec( c )=(1,0,3). T...
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The volume of the parallelepiped with edges -12hati+alpha hatk,3hatj-h...
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bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….
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vec(a)|vec(b) and vec(c),|vec(a)|=2,|vec(b)|=3,|vec( c )|=4. The angle...
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(vec(a)xx vec(b))xx vec( c )=vec(a)xx(vec(b)xx vec( c )). If vec(a)*ve...
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vec(u),vec(v) and vec(w) are not co-planar vectors and p and q are rea...
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