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The length of longer diagonal of the p...

The length of longer diagonal of the parallelogram constructed on `5a + 2b` and `a-3b` . If it is given that `|a| = 2sqrt(2),|b|` = 3 and angle between a and b is `(pi)/(4)` is

A

15

B

`sqrt(113)`

C

`sqrt(593)`

D

`sqrt(369)`

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The correct Answer is:
B
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. A parallelogram is constructed on the vectors r(1) = 3a-b, r(2) = a + ...

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  2. The vectors a =3i-2j+2k and b =-i-2k are adjacement sides of a parall...

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  3. The length of longer diagonal of the parallelogram constructed on 5...

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  4. OABC is a parallelogram such that OA = a, OB = b and OC =c, then the v...

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  5. Find the length of perpendicular from the piont A(1,4,-2) to the line ...

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  6. Let the points P, Q and R have position vectors r(1) = 3i-2j-k r(2...

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  7. Given the vectors a=3i-j+5k" and "b=i+2j-3k. A vector c which is perp...

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  8. IF veca, vecb, vecc are the position vectors of the vertices of an equ...

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  9. If a, b, c, d are the position vectors of points A, B, C and D respec...

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  10. The position vectors of four points A, B, C, D lying in a plane are a,...

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  11. Area of parallelogram whose adjacent sides of a = i +2j+3k, b = 3i-2j...

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  12. The vector A = 3i-k, b=i+2j are adjacent sides of a parallelogram . It...

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  13. The area of a parallelogram having diagonals a=3i+j-2k" and "b=i-3j+4k...

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  14. The area of a parallelogram is 5sqrt(3) then its diagonals are given b...

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  15. The area of the triangle whose two sides are given by 2i-7j+k and 4j-3...

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  16. The area of parallelogram constructed on the vector a =m + 2n and b =2...

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  17. If u = q-r,r-p, p-q and v = (1)/(a),(1)/(b),(1)/(c) and a, b, c are T(...

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  18. If u = q-r,r-p,p-q and v = loga^(2), logb^(2), logc^(2) and a,b, c an...

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  19. Let vec r xx veca = vec b xx veca and vecc vecr=0, where veca.vecc ne ...

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  20. If a, b, c are non-collinear vectors such that a + b is parallel to c,...

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