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If bar(a)=bar(i)-2bar(j)+3bar(k),bar(b)=...

If `bar(a)=bar(i)-2bar(j)+3bar(k),bar(b)=2bar(i)+bar(j)+bar(k), bar(c)=bar(i)+bar(j)+2bar(k) " then find "(bar(a)xxbar(b))xxbar(c)|and|bar(a)xx(bar(b)xxbar(c))|`

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If bar(a)=bar(i)-2bar(j)-3bar(k), bar(b)=2bar(i)+bar(j)-bar(k),bar(c)=bar(i)+3bar(j)-2bar(k) " then find " bar(a)xx(bar(b)xxbar(c))

If bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=2bar(i)+bar(j)+bar(k), bar(c ) = bar(i) + 2bar(j)-bar(k) , then find bar(a) xx (bar(b) xx bar(c )) and |(bar(a)xxbar(b))xxbar(c )| .

If bar(a)=2bar(i)+bar(j)-bar(k), bar(b)=-bar(i)+2bar(j)-4bar(k), bar(c )=bar(i)+bar(j)+bar(k) then find (bar(a)xxbar(b)).(bar(b)xxbar(c )) .

If bar(a) = bar(i) -2bar(j)-3bar(k),bar(b)=2bar(i)+bar(j)-bar(k),bar(c )=bar(i)+3bar(j)-2bar(k) , compute bar(a).(bar(b)xxbar(c)) .

If bar(a)=bar(i)-2bar(j)+3bar(k), bar(b) = 2bar(i)+bar(j)+bar(k), bar(c ) = bar(i)+bar(j)+2bar(k) then find |(axxb)xxc)| and |axx(bxxc)| .

If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -2bar(k) , then find (bar(a) + bar(b))xx(bar(a)-bar(b))

If bar(a)=2bar(i)-bar(j)+3bar(k), bar(b)=-bar(i)+4bar(j)-2bar(k), bar(c)=5bar(i)+bar(j)+7bar(k) and xbar(a)+ybar(b)=bar(c) then (x, y) =

If bar(a)=bar(i)+4bar(j), bar(b)=2bar(i)-3bar(j) and bar(c)=5bar(i)+9bar(j)" then "bar(c)=

If bar(a) = 2bar(i) +bar(j)-3bar(k), bar(b) = bar(i) -2bar(j)+bar(k), bar(C) =- bar(i) +bar(j)-4bar(k), bar(D) = bar(i) +bar(j)+bar(k) , then compute |(bar(a)xxbar(b))xx(bar(c)xxbar(d))| .

SRISIRI PUBLICATION-QUESTION PAPER -Section C
  1. Examine the consistency of the following systems of equations x+y+z=1...

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  2. P.T the smaller angle theta between any two diagonals of a cube is giv...

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  3. If bar(a)=bar(i)-2bar(j)+3bar(k),bar(b)=2bar(i)+bar(j)+bar(k), bar(c)=...

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  4. If bar(a) = 2bar(i) + 3bar(j) + 4bar(k), bar(b) = bar(i) + bar(j) -bar...

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

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  6. If A=(1,-2,-1) , B=(4,0,-3),C= (1,2,-1),D=(2,-4,-5) then find distan...

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  7. If A+B+C= 180^(@), then show that sin 2A+ sin 2B+ sin 2C =4 sin A sin...

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  8. IF A,B,C are angles in the triangle, then prove that cosA+cosB-cosC=...

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  9. If A, B , C are angles in a triangle, then the sin ^(2)A+sin ^(2)B - s...

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  10. If A+B+ C =pi, then prove that cos ^(2) (A/2)+ cos ^(2) (B/2) +cos ^(2...

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  11. If A, B , C are angles of a triangle, then P. T sin ^(2) . (A)/(2)+ si...

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  12. In triangle ABC, prove that cos .(A)/(2)+cos.(B)/(2)+cos. (C)/(2) =4 c...

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  13. If A+B+C=(3pi)/(2), prove that cos 2A+ cos 2B+ cos 2C=1-4 sin A sin B ...

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  14. If A+B+C = 2S , then P.T cos(S-A)+cos(S-B)+cos(S-C)+cosS=4cos.(A)/(...

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  15. In a /\ABC if a = 13,b=14,c=15 then S.T R = (65)/8 , r=4, r(1) = (21)/...

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  16. If r(1) = 2, r(2) = 3, r(3) = 6 and r =1, prove that a = 3, b=4 and c ...

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  17. In DeltaABC" prove that " (r(1))/(bc)+(r(2))/(ca)+(r(3))/(ab)=(1)/(r)-...

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  18. If sin theta = a/(b+c) then show that cos theta = (2sqrt(bc))/(b+c) co...

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  19. a cos^(2) A//2 + b cos^(2) B//2 + c cos^(2) C//2 = s + Delta / R అని చ...

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  20. In a /\ABC if a^(2)+b^(2)+c^(2)=8R^(2) then show that/\ABC is a right ...

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