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If the area of the parallelogram with ve...

If the area of the parallelogram with `vec(a)` and `vec(b)` as two adjacent sides is 15 sq. units, then the area of the parallelogram having `3vec(a)+2vec(b)` and `vec(a)+3vec(b)` as two adjacent sides in sq. units is

A

45

B

75

C

105

D

120

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The correct Answer is:
C
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
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  2. If vec a, vec b, vec c are three vectors such that vec a . (vec b + ve...

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  3. If the area of the parallelogram with vec(a) and vec(b) as two adjacen...

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  4. If vec(p)=hat(i)+hat(j), vec(q)=4hat(k)-hat(j) and vec(r )=hat(i)+hat...

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  5. If vec(a) and vec(b) are the vectors such that |vec(a)|=3sqrt(3), |vec...

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  6. If vec(a) is vector perpendicular to both vec(b) and vec(c ), then

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  7. A vector perpendicular to the plane contianing the points A(1,-1,2), B...

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  8. vec OA and vec BO are two vectors of magnitudes 5 and 6 respectively.I...

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  9. If veca = 2 hat i + 3 hat j - hat k , vec b = hat i + 2 hat j - 5 hat ...

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  10. The projection of a = 3i - j + 5k on b = 2i + 3j +k is

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  11. The area of the triangle whose vertices are A = (1,-1,2), B= (2,1,-1) ...

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  12. The volume of a parallelopiped whose adjacent sides are vec a = i+2j, ...

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  13. If ai+j+k, i+bj+k and i+j+ck are coplanar, then

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  14. If A, B, C and D aare four points and vec AB = vec DC then vec AC + ve...

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  15. The value of [vec a - vec b, vec b - vec c , vec c - vec a] where |...

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  16. If the veactors veca, vecb and vecc form the sides BC,CA and AB respec...

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  17. If vec a = 3i-5j and vec b = 6i+3j are two vectors vec c a vector such...

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  18. Given two vectors hati + hatj and hati +2 hatj, the unit vector coplan...

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  19. If the vectors vec c , veca = x hati + y hatj + z hatk and vecb = hatj...

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  20. The vector hati + hatj + 3 hatk is rotated through an angle theta and...

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