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If the points whose position vectors are...

If the points whose position vectors are `3bar(i) -2bar(j)-bar(k), 2bar(i)+3bar(j)-4bar(k), -bar(i)+bar(j)+2bar(k), 4bar(i)+5bar(j)+lambdabar(k)` are coplanar, then show that `lambda = -146/17`.

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If the point whose position vectors are 3bar(i)-2bar(j)-bar(k), 2bar(i)+3bar(j)-4bar(k), bar(i)+bar(j)-2bar(k), 4bar(i)5bar(j)+lambdabar(k) are coplanar, then show that lambda = -46/7 .

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The points whose position vectors are 2bar(i)+3bar(j)+4bar(k), 3bar(i)+4bar(j)+2bar(k) and 4bar(i)+2bar(j)+3bar(k) are the vertices of

If 3bar(i)+3bar(j)+sqrt(3)bar(k), bar(i)+bar(k), sqrt(3)bar(i)+sqrt(3)bar(j)+lambdabar(k) are coplanar then lambda=

If bar(i)-2bar(j), 3bar(j)+bar(k), lambdabar(i)+3bar(j) are coplanar then lambda=

Prove that vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) -bar(3j)-5bar(k) and bar(c ) = 3bar(i) - 4bar(j) -4bar(k) are coplanar.

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SRISIRI PUBLICATION-QUESTION PAPER -Section B
  1. If diagA=[a(1),a(2),a(3)], then for any integer n ge 1 show that A^(n)...

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  2. If ABCDEF is a regular hexagon with centre O , then P.T bar(AB)+bar(A...

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  3. If the points whose position vectors are 3bar(i) -2bar(j)-bar(k), 2bar...

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  4. Find the vector equation of the plane passing through the points. 4bar...

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  5. In the two dimensional plane, prove by using vector methods, the equat...

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  6. If bara,barb,barc are non-coplaner, then show that the vectors bara -b...

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  7. Find the area of the triangle formed with the points A(1,2,3), B(2,3,1...

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

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  9. Prove that angle in a semi circle is a rightangle by using Vector meth...

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  10. If (sin(alpha+beta))/(sin(alpha-beta)) = (a+b)/(a-b), then prove that ...

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  11. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

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  12. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

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  13. Show that sin ^(4). (pi)/(8)+ sin ^(4) .(3pi)/(8) sin ^(4). (5pi)/(8)...

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  14. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

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  15. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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  16. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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  17. If alpha,beta are the solutions of the equation acostheta+bsintheta=c...

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  18. If alpha,beta are the solutions of the equation acostheta+bsintheta=c...

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  19. If A is not an integral multiple of (pi), prove that cos A cos 2A cos ...

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  20. Solve sin x + sqrt(3) cos x = sqrt(2).

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