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find the area of a parallelogram whose d...

find the area of a parallelogram whose diagonals are `veca=3hati+hatj-2hatk and vecb=hati-3hatj+4hatk`.

A

`10sqrt(3)`

B

`5sqrt(3)`

C

8

D

4

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Show that (veca+vecb)xx(veca-vecb)=-2(vecaxxvecb) and use this result to find the area of a parallelogram whose diagonals are hati-2hatj-3hatk and 2hati-3hatj+2hatk

Area of a parallelogram, whose diagonals are 3hati+hatj-2hatk and hati-3hatj+4hatk will be:

Area of a parallelogram, whose diagonals are 3hati+hatj-2hatk and hati-3hatj+4hatk will be :

Show that area of the parallelogram whose diagonals are given by veca and vecb is (|veca xx vecb|)/2 . Also, find the area of the parallelogram, whose diagonals are 2hati - hatj + hatk and hati + 3hatj - hatk .

The area of the parallelogram whose diagonals are the vectors hati+3hatj- 2hatk and 3hati+hatj-4hatk

Find the area of the prallelogram whose adjacent sides are veca=hati+2hatj+3hatk and vecb=3hati-2hatj+hatk .

Determine the area of a parallelogram whose diagonals are given by vectors 3hati+2hatj-7hatk and 5hati+6hatj-3hatk .

Show that the asreas of the parallelogram having diagonals 3hati+hatj-2hatk and hati-3hatj+4hatk is 5sqrt(3)

Angle between diagonals of a parallelogram whose side are represented by veca=2hati+hatj+hatk and vecb=hati-hatj-hatk

AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
  1. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj...

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  2. Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hat...

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  3. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

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  4. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

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  5. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

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  6. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

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  7. A unit vector perpendicular to the plane passing through the points w...

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  8. If veca , vecb, vecc are the position vectors of the vertices. A,B,C ...

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  9. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

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  10. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

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  11. If veca,vecb,vecc be three vectors such that [veca vecb vec c]=4 then ...

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  12. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

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  13. If the verticles of a tetrahedron have the position vectors vec0, hati...

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  14. If [(2veca+vecb)veccvecd]=lambda[vecaveccvecd]+mu[vecbveccvecd] then l...

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  15. The unit vector veca and vecb are perpendicular, and the unit vector v...

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  16. The position vectors of the sides of triangle are 3hati+4hatj+5hatk, h...

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  17. Find the scaslars alpha and beta if vecaxx(vecbxxvecc)+(veca.vecb)vecb...

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  18. Let veca=2hati+hatj-2hatk and vecb=hati+hatj. If vecc is a vector such...

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  19. vecr=3hati+2hatj-5hatk, veca=2hati-hatj+hatk, vecb=hati+3hatj-2hatk, v...

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  20. Let veca, vecb and vecc be three vectors having magnitudes 1,1 and 2 r...

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