Home
Class 12
MATHS
Let vec a= hat j- hat k and vec c= hat...

Let ` vec a= hat j- hat k` and ` vec c= hat i- hat j- hat k` . Then vector ` vec b` satisfying ` vec axx vec b+ vec c= vec0` and ` vec adot vec b=3` is (1) `2 vec i- vec j+2 vec k` (2) ` hat i- hat j-2 hat k` (3) ` hat i+j-2 hat k` (4) `- hat i+ hat j-2 hat k`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let vec a=hat j-hat k and vec c=hat i-hat j-hat k. Then the vector b satisfying vec axvec b+vec c=0 and vec a*vec b=3, is

If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=3 and vec ax vec b= vec c , then vec b is equal to

If vec a=hat i+hat j+hat k and vec b=hat j-hat k, find a vector vec c such that vec a x vec c=vec b and vec a*vec c=3

Let vec a=hat i+hat j;vec b=2hat i-hat k. Then vector vec r satisfying vec r xxvec a=vec b xxvec a and vec r xxvec b=vec a xxvec b is hat i-hat j+hat k b.3hat i-hat j+hat k c.3hat i+hat j-hat k d.hat i-hat j-hat k

If vec a=hat j-hat k and vec c=hat i+hat j+hat k are given vectors,and vec b is such that a vec a*vec b=3 and vec a xxvec b+vec c=0 then is equal to

If vec a=hat i-hat j and vec b=-hat j+hat k find the projection of vec a on vec b

If vec a=hat i+2hat j-2hat k,vec b=2hat i-hat j+hat k and vec c=hat i+3hat j-hat k then find vec a xx(vec b xxvec c)

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k,f in d|3vec a-2vec b+4vec c|

If vec a=hat i-hat j and vec b=-hat j+2hat k, find (vec a-2vec b)*(vec a+vec b)

RESONANCE DPP-JEE MAINS-All Questions
  1. A B C is a triangle where A=(2,3,5)B=(-1,2,2)a n dC(lambda,5mu) , if t...

    Text Solution

    |

  2. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  3. Let vec a= hat j- hat k and vec c= hat i- hat j- hat k . Then vector...

    Text Solution

    |

  4. If (alpha, beta) is a point of intersection of the lines xcostheta +y ...

    Text Solution

    |

  5. If two events Aa n dB are such that P(A^c)=0. 3 ,P(B)=0. 4 ,a n dP...

    Text Solution

    |

  6. Let f: RvecR be a one-one onto differentiable function, such that f(2)...

    Text Solution

    |

  7. lim(n->oo)cos(pisqrt(n^2+n))=?(n in I) a. 1 b. -1 c. 0 d. Does not...

    Text Solution

    |

  8. If matrix A is given by A=[6 11 2 4] , then the determinant of A^(2...

    Text Solution

    |

  9. If the line y=mx+c touches the parabola y^(2)=4a(x+a), then

    Text Solution

    |

  10. A relation on set ={1,2,3,4,5} is defined as R="{"a-b"|" is prime numb...

    Text Solution

    |

  11. Let U={xcN,xle10},A={x inN,1lex^(3)lt150}and B={x inN, x is prime numb...

    Text Solution

    |

  12. Sum of squares of deviation of 10 observations measured from 5 is 17 a...

    Text Solution

    |

  13. If alpha,beta in R and the quadratic equations x^2+2x+7=0a n d4x^2+al...

    Text Solution

    |

  14. Let A and B be two square matrices satisfying A+BA^(T)=I and B+AB^(T)=...

    Text Solution

    |

  15. The function f:(-oo, 1] rarr (0, e^(5)] defined as f(x)=e^(x^(3)+2) is

    Text Solution

    |

  16. If the point P(4, -2) is the one end of the focal chord PQ of the para...

    Text Solution

    |

  17. Let f(x)=(sin {pi[x-pi]})/(1-[x^(2)]), where [.] stands for the greate...

    Text Solution

    |

  18. if A[{:(5,-3),(111,336):}] and det(-3A^(2013)+A^(2014))=alpha^(alpha)+...

    Text Solution

    |

  19. If x^2+a x-3x-(a+2)=0 has real and distinct roots, then the minimum va...

    Text Solution

    |

  20. If a and b are the solutions of equation log5(log(64)(|x|)-1/2+25^x)=2...

    Text Solution

    |