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The diagonals of a parallelogram are giv...

The diagonals of a parallelogram are given by vectors `2hati+3hatj-6hatk and 3hati-4hatj-hatk`. Determine the area.

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The diagonals of a parallelogram are gives by the vectors 3hati +hatj + 2hatk and hati - 3hatj +4hatk . Find the area of the parallogram.

The diagonals of as parallelogram are given by veca=3hati-4hatj-hatk and vecb=2hati+3hatj-6hatk Show that the parallelogram is as rhombus and determine the length of its sides, and the angles.

The diagonals of a parallelogram are given by -3hati+2hatj-4hatk and -hati+2hatj+hatk . Calculate the area of parallelogram.

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The adjacent sides of a parallelogram are given by vecA=hati+hatj-4hatk and vecB=2hati-hatj+4hatk . Calculate the area of parallelogram.

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The diagonals of a parallelogram are expressed as vecA=5hati05hatj+3hatk and hatB=3hatj-2hatj-hatk . Calculate the magnitude of area of this parallelogram.

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MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. Given that vectors veca and vecb asre perpendicular to each other, fin...

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  2. If veca, vecb and vecc are three unit vectors such that veca xx (vecb ...

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  3. The diagonals of a parallelogram are given by vectors 2hati+3hatj-6hat...

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  4. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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  5. Two vertices of a triangle are at -hati+3hatj and 2hati+5hatj and its ...

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  6. If veca, vecb, vecc are unit vectors, then |veca-vecb|^2+|vecb-vec|^2+...

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  7. Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+...

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  8. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

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  9. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

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  10. Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...

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  11. The value of a so that the volume of the paralelopiped formed by hati+...

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  12. A unit vector int eh plane of the vectors 2hati+hatj+hatk, hati-hatj+h...

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  13. If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vec...

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  14. If veca,vecb,vecc,vecd are four distinct vectors satisfying the condit...

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  15. Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-h...

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  16. Let vecA be a vector parallel to the of intersection of planes P1 and ...

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  17. The number of distinct values of lamda, for which the vectors -lamda^(...

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  18. Let veca, vecb ,vecc be unit vetors such that veca + vecb + vecc = ve...

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  19. Assertion: vec(PQ)xx(vec(RS)+vec(ST))!=0, Reason : vec(PQ)xxvec(RS)=ve...

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  20. The edges of a parallelopiped are of unit length and are parallel to n...

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