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The area of the parallelogram whose diag...

The area of the parallelogram whose diagonals are `hatj+hatk` and `hati+hatk` is ……….

A

`(sqrt(3))/(2)`

B

`(3)/(2)`

C

3

D

`sqrt(3)`

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The area of the parallelogram whose adjacent side is hati+hatk and hati+hatj is ………….

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Find the area of the parallelogram whose diagonals are determined by the vectors 3hati+hatj-2hatk and hati-3hatj+4hatk .

bar(a)=hati+hatj+hatk,bar(b)=hati+3hatj+5hatk and bar( c )=7hati+9hatj+11hatk are vectors. The area of the parallelogram whose diagonals are bar(a)+bar(b) and bar(b)+bar( c ) is …………..

Find the area of the parallelogy whose diagonals are determined the vectors 2hati+hatk and hati+hatj+hatk .

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec(a)=hati-hatj+3hatk and vec(b)=2hati-7hatj+hatk .

The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is

The adjacent sides of a parallelogram are 2hati-4hatj+5hatk and hati-2hatj-3hatk . Find the unit vector parallel to its diagonal. Also find the area of the parallelogram.

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. Let vec(u),vec(v) and vec(w) be such that |vec(u)|=1,|vec(v)|=2,|vec(w...

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  2. The centroid of DeltaABC is G. The angle between vec(GB) and vec(GC) i...

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  3. The area of the parallelogram whose diagonals are hatj+hatk and hati+h...

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  4. The area of the parallelogram whose adjacent side is hati+hatk and hat...

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  5. If bar(x) and bar(y) are non zero, non collinear vector then the numbe...

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  6. If |bar(x).bar(y)|=cos alpha, then |bar(x)xx bar(y)| = …………….

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  7. If bar(a)=(2,0,1) and bar(b)=(1,1,1) then sin(bar(a)""(,)^(hat)bar(b))...

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  8. The unit vector perpendicular to both the vectors (3, -1, 0) and (-2, ...

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  9. The area of the parallelogram with diagonals hati+hatj and hatj+hatk i...

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  10. The angle between the vectors (2,-1,1) and (1,-1,2) is ……………

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  11. If |bar(x)|=7.|bar(y)|=sqrt(2),bar(x)xx bar(y)=(6,2,3) then |bar(x).ba...

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  12. The unit vector perpendicualr to both the vectors hati+2hatj-2hatk and...

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  13. A(-1, 2, 3), B(1, 1, 1) and C(2, -1, 3) are three points in the plane....

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  14. If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between ba...

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  15. bar( r )xx bar(a)=bar(b)xx bar(a),bar( r )xx bar(b)=bar(a)xx bar(b),ba...

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  16. (bar(a)xx bar(b))^(2) = ……………..

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  17. |bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each ...

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  18. bar(a)=hati+hatj+hatk,bar(b)=hati+3hatj+5hatk and bar( c )=7hati+9hatj...

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  19. In DeltaABC, the bisector of angleA is bar(AD). bar(AD)=alpha bar(AB...

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  20. The vector bar(a)=(x,y,z) makes an obtuse angle with y- axis. bar(b)=(...

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