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The volume of the tetrahedron having the...

The volume of the tetrahedron having the edes `hati+2hatj-hatk, hati+hatj+hatk, hati-hatj+lambda hatk` as coterminous, is `2/3` cubic unit. Then `lambda` equals

A

1

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2

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3

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4

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SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems
  1. If m(1),m(2), m(3), m(4) are respetively the magnitudes of the vectors...

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  2. Suppose veca=lambda hati-7 hatj+3hatk, overset(-)b=lambda hati+hatj+2l...

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  3. The volume of the tetrahedron having the edes hati+2hatj-hatk, hati+ha...

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  4. The position vectors of P and Q are respectively a and b. If R is a po...

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  5. If the points with position vectors 60hati+3j, 40hati-8hatj and ahati-...

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  6. If the points vectors of A,B and C are respectively 2hati-hatk+hatk, h...

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  7. If veca=hati+hatk, hatk, overset(-)b=hati-hatj+hatk, overset(-)c=hati+...

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  8. Let overset(-)a be a unit vector overset(-)b=2hati+hatj-hatk and overs...

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  9. Let a=a(1) hati+a(2) hatj+a(3) hatk Assertion (A) The identity |ve...

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  10. If the point whose position vectors are 2hati+hatj+hatk, 6hati-hatj+2h...

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  11. The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...

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  12. If veca=overset(-)i-overset(-)j-overset(-)k and vecb=lambda hati-3hatj...

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  13. The volume (in cubic unit) of the tetrahedron with edges hati+hatj+hat...

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  14. If a + b + c = 0 and |a| = 3, |b| = 4 and |c| = sqrt(37) the angle bet...

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  15. The position vector of a point lying on the line joining the points wh...

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  16. If hati-2hatj,3hatj+4hatk and lambda hati+3hatj are coplanar, then lam...

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  17. If the volume of parallelopiped with conterminus edges 4hati+5hatj+hat...

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  18. If veca. hati+veca. (2hati+hatj)=veca. (hati+hatj+3hatk)=1 then veca i...

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  19. If the vector veca=2hati+3hatj+6hatk and vecb are collinear and |vecb|...

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  20. If vec(a) and vec(b) are unit vectors, then the vectors (vec(a) + vec(...

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