bar(x),bar(y),bar(z) are zero vectors. I...

`bar(x),bar(y),bar(z)` are zero vectors. If …………… then `bar(x).bar(y)=bar(x).bar(z).(bar(x),bar(y)ne0)`.

`bar(x)` is perpendicular to `bar(y)`.

`bar(x)` is perpendicular to `bar(z)`.

`bar(x)` is perpendicular to `bar(y)+bar(z)`.

`bar(x)` is perpendicular to `bar(y)=bar(z)`.

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bar(x),bar(y),bar(z) are non zero vectors. If (bar(x)""_(,)^(hat)bar(y))=(pi)/(2 and bar(z)=bar(x)+bar(y) , then ……..

If bar(x).bar(y)=bar(x).bar(z) ne 0 and bar(x)xx bar(y)=bar(x)xx bar(z)ne bar(0) and bar(x)ne bar(0) then …………..

If |bar(x)+bar(y)|=|bar(x)-bar(y)| , 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 ……………

If bar(a),bar(b),bar( c ) and bar(d) are coplanar vectors then (bar(a)xx bar(b))xx(bar( c )xx bar(d)) = …………..

If bar(a) is any non-zero vector, then (bar(a).bar(i)).bar(i)+(bar(a).bar(j)).bar(j)+(bar(a).bar(k)).bar(k) is equal to ………………

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) = .............

If bar(a),bar( c ) and bar(d) are not coplanar vectors and bar(d).(bar(a)xx(bar(b)xx(bar( c )xx bar(d))))=K[bar(a),bar( c ),bar(d)] then K = ….

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) )

bar(x) and bar(y) are unit vectors and (bar(x)""(,)^(hat)bar(y))=theta...
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If |bar(x)+bar(y)|=|bar(x)-bar(y)|, then
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bar(x),bar(y),bar(z) are zero vectors. If …………… then bar(x).bar(y)=bar...
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bar(x),bar(y),bar(z) are non zero vectors. If (bar(x)""(,)^(hat)bar(y)...
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If bar(x).bar(y)=bar(x).bar(z) ne 0 and bar(x)xx bar(y)=bar(x)xx bar(z...
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If bar(a)=(3,1,-2) and bar(b)=(1,3,-2) then (bar(a)" "^(hat)bar(b)) = ...
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If bar(x)=(1,1,-1),bar(y)=(-1,2,2) and bar(z)=(-1,2,-1) then the unit ...
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If (3hati+4hatj+9hatk) and (a hati-3hatj+1hatk) are perpendicualr to e...
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If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then...
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If |bar(x)|=|bar(y)|=2 and (bar(x)" "^(hat)bar(y))=theta then |bar(x)-...
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The projection of the vector (-4,-2,4) on (2,1,1) is ………….
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The magnitude of the projection of vector (4, 1, 3) and (1, -2, 3) is ...
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The unit vector perpendicular to (3,-4) in R^(2) is ………………
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The unit vector perpendicualr to (3, 4)is ……………….
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If |bar(x)|=|bar(y)|=1 and bar(x)|bar(y), then |bar(x)-bar(y)| =……………
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bar(a)=(-3,1,0),bar(b)=(1,-1,-1) then |"Comp"(bar(b))bar(a)| = …………
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If bar(a)+bar(b)+bar( c )=bar(0) and |bar(a)|=3,|bar(b)|=5,|bar( c )|=...
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A(1, -2, 4), B(5, -1, 7), C(3, 6, -2) and D(4, 5, -1) are given vector...
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In a right angled triangle ABC, hypotenuse AB=P then bar(AB).bar(AC)+b...
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squareABCDEF is a regular hexagone with each side a. bar(AB).bar(AF)+(...
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