bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b...

`bar(a)=2bar(i)-3bar(j)+2bar(k)` and `bar(b)=2bar(i)+3bar(j)+bar(k)` are the sides of triangle OAB. Then its area is …… seq. unit.

340

`2sqrt(5)`

`sqrt(229)`

`(1)/(2)(sqrt(229))`

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The vectors from origin to the points A and B are bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b)=2bar(i)+3bar(j)+bar(k) respectively, then the area of DeltaOAB is equal to …….

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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 .

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bar(a)=2bar(i)-3bar(j)+6bar(k) and bar(b)=-2bar(i)+2bar(j)-bar(k) then ("Proj"_(bar(b))bar(a))/("Proj"_(bar(a))bar(b))= .......

Find the value of lambda such that the vectors bar(a)=2bar(i)+lambda bar(j)+bar(k) and bar(b)=bar(i)+2bar(j)+3bar(k) are orthogonal …….

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A unit vector is coplanner with bar(i)+bar(j)+2bar(k) and bar(i)+2bar(j)+bar(k) and it is perpendicular to the vector bar(i)+bar(j)+bar(k) . Then the vector …………..

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

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Objective type Questions)

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bar(a)=2bar(i)-3bar(j)+2bar(k) and bar(b)=2bar(i)+3bar(j)+bar(k) are t...
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If |bar(a)xx bar(b)|^(2)+|bar(a).bar(b)|^(2)=144 and |bar(a)|=4, then ...
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If bar(a) is any non-zero vector, then (bar(a).bar(i)).bar(i)+(bar(a...
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