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Find the volume of the parallelopiped wh...

Find the volume of the parallelopiped whose edges are represented by `a=2hati-3hatj+4hatk,b=hati+2hatj-hatk and c=3hati-hatj+2hatk`.

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The volume of the parallelepiped whose edges are veca=2hati-3hatj+4hatk, vecb=hati+2hatj-hatk and vecc=2hati-hatj+2hatk is

Find the volume of a parallelopiped whose edges are represented by the vectors: veca =2hati-3hatj-4hatk, vecb=hati+2hatj-2hatk, and vecc=3hati+hatj+2hatk .

Find the area of the parallelogram whose sides are represented by 2hati + 4hatj - 6hatk and hati +2hatk.

Find the area of the parallelogram whose diagonals are represented by -2hati+4hatj+4hatk and -4hati-2hatk

Find the volume of the parallelopiped, whose three coterminous edges are represented by the vectors hati+hatj+hatk,hati-hatj+hatk,hati+2hatj-hatk .

Find the volume of the parallelepiped with co-terminous edges 2 hati + hatj - hatk, hati + 2 hatj + 3 hatk and - 3 hati - hatj + hatk

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

If the volume of the parallelopiped whose coterminus edges are represented by the vectors 5hati -4hatj +hatk , 4hati+3hatj-lambda hatk and hati-2hatj+7hatk is 216 cubic units, find the value of lambda .

Find the area of the parallel whose adjacent sides are represented by the vectors 3hati+hatj-2hatk and hati-3hatj+4hatk

Find the vector area of the triangle, the position vectors of whose vertices are hati+hatj+2hatk, 2hati+2hatj-3hatk and 3hati-hatj-hatk

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the volume of the parallelopiped whose edges are represented by a...

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  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

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  3. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

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  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

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  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

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  6. Let vec a , vec b and vec c be three non-zero vectors such that no ...

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  7. If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...

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  8. The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...

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  9. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

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  10. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

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  11. Let P,Q R and S be the points on the plane with position vectors -2hat...

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  12. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

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  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

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

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  15. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

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  16. Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...

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  17. The number of distinct real values of lambda , for which the vectors...

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  18. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

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  19. Let vec A be a vector parallel to the line of intersection of plan...

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  20. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

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  21. The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk an...

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