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Find a unit vector perpendicular to both...

Find a unit vector perpendicular to both of the vectors `veca + vecb` and `veca - vecb` where `veca = hati + hatj + hatk` and `b = hati+2hatj+3hatk`.

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SHARAM PUBLICATION-MODEL QUESTION PAPER-5-EXERCISE
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  2. Differentiate tan^(-1) frac (sqrt(1+x^2) + sqrt(1-x^2))(sqrt(1+x^2) ...

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  3. If y = (sinx)^x find (dy)/(dx).

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  4. Find the points on the curve y = x^3 - 11x + 5 at which the equation o...

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  5. Evaluate intx/((x^2 + 4)) dx.

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  6. Evaluate int(0)^(pi//4)log(1+tanx)dx.

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  7. Evaluate int(sinx + cosx)/(sqrt(sin2x))dx

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  8. Solve dy + e^-y sin x dx = 0.

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  9. If the sum of two unit vectors is a unit vectors find the magnitude of...

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  10. Find a vector of magnitude 5 units and parallel to the resultant of ve...

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  11. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

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  12. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

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  13. If p is a prime and ab-=0 (mod p) then show that either a=0 (mod p) or...

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  14. If "sin"^(-1)(x/a) + "sin"^(-1) (y/b)=alpha "prove that" x^2/a^2+(2xy)...

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  15. Using properties of determinants, prove the following abs{:(a^2, bc, a...

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  16. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  17. int(pi//6)^(pi//3)dx/(1+sqrtcotx)

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  18. Solve the differential equation (x^(2)+1)(dy)/(dx)+2xy= sqrt(x^(2)+4),

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  19. Find a unit vector perpendicular to both of the vectors veca + vecb an...

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  20. Find the equations of the plane passing through the point (2, 1, 3) an...

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