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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-HIGHER SECONDARY QUESTION 2018-EXERCISE
  1. A relation R is defined on the set of natural numbers N as follows: R=...

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  2. answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...

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  3. (b) answer the foll. Questions: (i) express the matrix A=[[3,2,3],[4,5...

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  4. if |[x-1,1,1],[1,x+1,-1],[-1,1,x+1]| =0 , find the value of x.

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  5. answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then ...

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  6. or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect t...

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  7. answer the foll. Questions: (ii)evaluate :int (x^4+1)/(x^6+1) dx

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  8. or, evaluate :int dx/(cos x+sqrt 3 sin x)

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  9. answer the foll. Question: (iii) solve : x dy/dx = y+x tan (y/x) , giv...

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  10. or , solve:(1-x^2) dy/dx - xy=1 .

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  11. (d) answer any one question : (i) if three vectors vec a, vec b and ve...

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

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  13. Evaluate lim(n->oo)[1^2/(n^3+1^3) + 2^2/(n^3+2^3) +3^2/(n^3+3^3)+…+1...

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  14. answer any one question : (ii) evaluate : int0^pi (x sin x)/(1+cos ^2x...

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  15. answer any one question : (ii) if X and Y are two independent variable...

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  16. (b)answer any two questions : (i) a circular ink blot grows at the rat...

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  17. answer any two questions :(iii) if the straight line lx+my=n be a norm...

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  18. answer any two questions :(iv) solve :(2x-10y^3) dy/dx+y=0 .

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  19. ©answer any one question: (i) find the vector equation of the plane at...

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  20. answer any one question : (ii) find the equation of the line which is...

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