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answer any one question : (ii) let `vec a= hat i+4 hat j+ 2hat k , vec b=3 hat i- 2 hat j +7 hat k and vec c= 2 hat i- hat j + 4 hat k` . Find a vector `vec d ` which is perpendicular to both the vectors `vec a and vec b and vec c . vec d=18`

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Let vec a= hat i+4 hat j+2 hat k , vec b=3 hat i-2 hat j+7 hat ka n d vec c=2 hat i- hat j+4 hat kdot Find a vector vec d which is perpendicular to both vec a and vec b and vec c. vec d=15.

Let vec ( a) = hat (i) + 4 hat (j) + 2 hat (k), vec (b) = 3 hat(i) - 2 hat (j) - 7 hat (k) and vec (c ) = 2 hat (i) - hat (j) + 4 hat (k) . Find a vector vec (d) which is perpendicular to both vec (a) and vec (b) and vec ( c) . vec(d) = 18

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot Then find [vec a vec b vec c]

if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and vec c=z hat i+x hat j+y hat k , then vec axx( vec bxx vec c) is

If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k ,then veca.vecb =

if vec a = 2 hat i- 3 hat j+hat k and vec b = hat i+2 hat j- 3hat k then vec aXvec b is

If vec a= hat i+hat j- hat k, vec b= -hat i+2 hat j+ hat k and vec c = - hat i+2 hat j- hatk , then show that the unit vector perpendicular to vec a+ vec b and vec b+ vec c is hat k .

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

UNITED BOOK HOUSE-SET 7-EXERCISE
  1. Find the equation of the line passing through the point(1,2,3) and par...

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  2. Two unbiased dice are thrown. Find the probability that the sum of the...

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  3. M and E are two equally strong football teams. Findthe probability tha...

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  4. Solve: tan^(-1)sqrt(x(x+1)+sin^(-1)sqrt(1+x+x^2) = pi/2

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  5. If A = [[1,-1],[2,-1]],B = [[a,1],[b,-1]] and (A+B)^2 = A^2+B^2 find a...

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  6. Evaluate: |[alpha, beta,gamma],[alpha^2,beta^2,gamma^2],[beta+gamma,ga...

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  7. Show that |[-1,b,c],[a,-1,c],[a,b,-1]|=(a+1)(b+1)(c+1)(a/(a+1)+b/(b+1...

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  8. If y = tan^(-1) ((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) ...

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  9. Evaluate: int (cos x-sinx )/sqrt(sin 2x)dx

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  10. Evaluate: int x sqrt((a^2-x^2)/(a^2+x^2))dx

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  11. Solve: cos^(-1)((dy)/(dx)) = x+y.

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  12. solve : sqrt(a^2+x^2)(dy)/(dx)+y= sqrt(a^2+x^2)-x

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  13. Find a unit vector in direction parallel to the sum of the vectors vec...

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  14. answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec...

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  15. Evaluate: overset(1)underset(0)int (tan^(-1)x)/(1+x^2)dx.

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  16. Evaluate : underset(nrarrinfty)lim [1/n + 1/(n+1)+ 1/(n+2) + .... +1...

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  17. Three groups of children contain respectively 3 girls and 1 boy, 2 gir...

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  18. 5% of the electric valves are defective. 10 valves are drawn at random...

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  19. Find the area of the region bounded by the parabola y = x^(2) and y = ...

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  20. Show that the pair of lines whose direction cosines are given by 3 lm-...

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