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Find the angle between the vectors overl...

Find the angle between the vectors `overlinei+2overlinej+3overlinek` and `3overlinei-overlinej+2overlinek`

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Find the vectors equation of the line passing through the points 2overlinei+overlinej+3overlinek,-4overlinei+3overlinej-overlinek

Find the shortest distance between the skew lines. overliner=(6overlinei+2overlinej+2overlinek)+t(overlinei-2overlinej+2overlinek) and overliner=(-4overlinei-overlinek)+s(3overlinei-2overlinej-2overlinek)

Find the angle between the vectors veci+2vecj+3veck and 3veci-vecj+2veck

IF the vectors 2overlinei+lamdaoverlinej-overlinek,4overlinei-2overlinej+2overlinek are perpendicular to each other then find lamda .

IF overlinea=overlinei+2overlinej-3overlinek and overlineb=3overlinei-overlinej+2overlinek then show that overlinea+overlineb and overlinea-overlineb are perpendicular to each other.

IF overlinea=overlinei-2overlinej-3overlinek,overlineb=2overlinei+overlinej-overlinek and overlinec=overlinei+3overlinej-2overlinek ,find overlinea.(overlinebtimesoverlinec) .

IF the position vectors of the points A,B,C are -2overlinei+overlinej-overlinek-4overlinei+2overlinej+2overlinek,6overlinei-3overlinej-13overlinek respectively and overline(AB)=lamdaoverline(AC) then find the value of lamda .

Find the angle between the vectors vec(i) + 2vec(j) + 3vec(k) and 3vec(i) - vec(j) + 2vec(k) .

SRISIRI PUBLICATION-IPE:MARCH-2017(TS)-QUESTIONS
  1. If bar(a) = 2bar(i)+5bar(j)+bar(k), bar(b) = 4bar(i)+mbar(j)+nbar(k) a...

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  2. Find the vector equation of the line passing through the point 2overli...

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  3. Find the angle between the vectors overlinei+2overlinej+3overlinek and...

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  4. IF sin theta=4/5 and theta is not in the first quadrant, find the valu...

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  5. Prove that cos48^@.cos12^@=(3+sqrt5)/8.

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  6. IF coshx=5//2, then find the value of (i) cosh(2x) and (ii) sinh(2x)

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  7. Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

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  8. IF overlinea,overlineb,overlinec are non-coplanar, then prove that the...

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  9. IF overlinea=2overlinei+overlinej-overlinek,overlineb=-overlinei+2over...

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  10. Find the range of 13cosx+3sqrt3 sin x-4

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  11. Solve 1+sin^2 theta=3sin thetacostheta

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  12. Show that cot(Sin^-1sqrt(13/17))=sin(Tan^-1""2/3).

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  13. In DeltaABC, if 1/(a+c)+1/(b+c)=3/(a+b+c) then show that C=60^@

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  14. If Q is the set of all rational numbers, and f:Qto Q is defined by f(x...

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  15. If f={(4,5),(5,6),(6,-4)},g={(4,-4),(6,5),(8,5)} find (iii) fg

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  16. Using Mathematical Induction, prove that statement for all n in N 1....

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  17. Solve the following system of equations by using Cramer's rule. 2x-y...

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  18. Show that the matrix A = [(1,2,1),(3,2,3),(1,1,2)] is non-singular and...

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  19. IF A=[{:(1,2,2),(2,1,2),(2,2,1):}] then show that A^2-4A-5I=O.

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  20. Find the shortest distance between the skew lines . bar(r)=(6bar(i)...

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