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Let ` vec a , vec b , vec c` be the three unit vectors such that ` vec a+5 vec b+3 vec c= vec0` , then ` vec a. ( vec bxx vec c)` is equal to

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. For any two vec aa n d vec b ,( vec axx hat i)dot( vec bxx hat i)+( v...

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  2. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec axx...

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  3. Let vec a , vec b , vec c be the three unit vectors such that vec a+...

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  4. int1/(1+sqrt(x))"dx" is equal to a. 2sqrt(x)+2ln|1+sqrt(x)|+c ...

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  5. The sides of a parallelogram are 2 hat i+4 hat j-5 hat k and hat i+2 ...

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  6. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

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  7. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

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  8. int0^pi||sinx|-|cosx||dx is equal to (a)tan((3pi)/8) (b) tan(pi/8) ...

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  9. Let f(x)={(sinx^2)/x x!=0 0x=0, then f^(prime)(0^+)+f^(prime)(0^-) h...

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  10. The equation of a line 4x-4y-z+11=0=x+2y-z-1 can be put as x/2=(y-2)/1...

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  11. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...

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  12. Let u=int(0)^(1)(ln(x+1))/(x^(2)+1)dx and v=int(0)^(pi//2)ln (sin 2x)d...

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  13. int(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)((2x)/(x^2+1))+tan^(-1)((2x)/(...

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  14. Find the integral value of n for which ("lim")(xvec0)(cos^2x-cosx-e^x...

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  15. If y=cos^(-1)sqrt((sqrt(1+x^2+1))/(2sqrt(1+x^2))),t h e n(dy)/(dx)i s...

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  16. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  17. 1)int(-pi/2)^pi sin^(-1) (sinx) dx 2)int(-pi/2)^(pi/2) (-pi/2)/(sqr...

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  18. if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where...

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  19. int(sqrt(1+x^2)-x)^n dx

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  20. The expression [(1+sin.(pi)/(8) + icos .(pi)/(8))/(1+ sin.(pi)/(8) - i...

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