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Let vecb=-veci+4vecj+6veck, vecc=2veci-7...

Let `vecb=-veci+4vecj+6veck, vecc=2veci-7vecj-10veck.` If `veca` be a unit vector and the scalar triple product `[veca vecb vecc]` has the greatest value then `veca` is

A

`(1)/(sqrt(3)) (i+j+k)`

B

`(1)/(sqrt(5)) (sqrt(2)i-j-sqrt(2)k)`

C

`(1)/(3) (2i+2j-k)`

D

`(1)/(sqrt(5))(3i - 7j-k)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
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  2. The value of a so that the volume of parallelopiped formed by vectors ...

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  3. Let vecb=-veci+4vecj+6veck, vecc=2veci-7vecj-10veck. If veca be a unit...

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  4. Let a =3i+2k and b=2j+k. If c is a unit vector, then the maximum value...

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  5. Let veca,vecb and vecc be three vectors. Then scalar triple product [v...

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  6. For three vectors vecu,vecv,vecw which of the following expressions is...

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  7. If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecbxxvecc))...

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  8. If vecd = gamma(veca xx vecb) + mu(vecb xx vecc) + v(vecc xx veca) and...

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  9. If a, b, c are non-coplanar vectors and r is a unit vector, then |(r....

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  10. Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb=b(2)hatj+b(3)hatk and vecc=c(...

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  11. The scalar vec Adot( vec B+ vec C)xx( vec A+ vec B+ vec C) equals 0 b...

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  12. If [(3a + 5b) (c) (d)] = p [acd] + q[bcd], them p + q=

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  13. (a + 2b-c).[(a-b) xx (a-b-c)] is equal to

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  14. If a, b and c three non-coplanar vectors, then (a + b +c). [a+b) xx (a...

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  15. If vec u , vec va n d vec w are three non-cop0lanar vectors, then ...

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  16. If vec a , vec ba n d vec c are unit coplanar vectors, then the sc...

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  17. If a,b,c ar enon-coplanar vectors and lamda is a real number, then the...

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  18. If bara,barb,barc are non-coplanar vectors and lambda is a real number...

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  19. The resultant of two forces P N and 3 N is a force of 7 N. If the d...

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