Home
Class 12
MATHS
If the vectors 2a hat i+b hat j+c hat k ...

If the vectors `2a hat i+b hat j+c hat k ,b hat i+c hat j+2a hat ka n dc hat i+2a hat j+b hat k` are coplanar vectors and `a ,b!=c in R ,` then straight lines `a x+b y+c=0` always pass through: `(1,2)` b. `(2-1)` c. `(2,1)` d. `(1,-2)`

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

If the vectors 4 hat i+11 hat j+m hat k ,\ 7 hat i+2 hat j+6 hat k\ a n d\ hat i+5 hat j+4 hat k are coplanar then m= 38 b. "\ "10"\ " c. -1 d. -10

If the vectors (ahat(i)+a hat(j)+chat(k)), (hat(i)+hat(k)) and (c hat(i)+c hat(j)+b hat(k)) be coplanar, show that c^(2)=ab .

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

The vectors 3 hat i- hat j +2 hat k', 2 hat i+hat j + 3 hat k and hat i + lambda hat j - hat k are coplaner if value of lambda is (A) -2 (B) 0 (C) 2 (D) any real number

If the vectors ahat i+hat j+hat k , hat i+bhat j+hat k and hat i+hat j+chat k(a!=b!=c!=1) are coplanar,then the value of (1)/(1-a)+(1)/(1-b)+(1)/(1-c) .

If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+hat(j)+chat(k) , where a, b, c are coplanar, then a+b+c-abc=

If a hat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), and hat(i)+hat(j)+c hat(k) are coplanar vectors, then what is the value of a+b+c-abc?

If hat i+hat j+muhat k,muhat i+hat j+hat k,hat i+muhat j+hat k are coplanar vectors,then sum of all distinct values of mu is (A)0(B)2(C)-1(D)1

If the vectors a hat(i) + hat(j) + hat(k), hat(i) + b hat(j) + hat(k) and hat(i) + hat(j) + c hat(k) (a,b ne 1) are coplanar then the value of (1)/(1-a) + (1)/(1-b) + (1)/(1-c) is equal to

vec a=hat i+hat j+hat k,vec b=2hat i-hat j+3hat k and vec c=hat i-2hat j+hat k find a unit vector in a direction parallel to vector (2vec a-vec b+3vec c)

RESONANCE DPP-JEE MAINS-All Questions
  1. One diagonal of a square is the portion of the line sqrt(3)x+y=2sqrt(3...

    Text Solution

    |

  2. Three vertices of a parallelogram are (1, 1), (2, 4)  and (3,5), then ...

    Text Solution

    |

  3. If the vectors 2a hat i+b hat j+c hat k ,b hat i+c hat j+2a hat ka n d...

    Text Solution

    |

  4. In a triangle A B C , right angled at A , on the leg A C as diameter, ...

    Text Solution

    |

  5. Let a, b, c be any real numbers. Suppose that there are real number...

    Text Solution

    |

  6. underset(x to oo)lim(overset(2x)underset(0)intte^(t^(2))dt)/(e^(4x^(2)...

    Text Solution

    |

  7. ("lim")(x→oo)((a x+3)/(b x+2))^(b x) is equal to (a and b are positive...

    Text Solution

    |

  8. a, b, c are sides of a triangle and a, b, c are in GP If log a- log ...

    Text Solution

    |

  9. The equation 2log(x+3)="log"(alphax) has only one solution if alpha=12...

    Text Solution

    |

  10. If x^2+2a x+a<0AAx in [1,2], the find the values of adot

    Text Solution

    |

  11. If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x) is continuous as well...

    Text Solution

    |

  12. A box contains 1 black and 1 white ball. A ball is drawn randomly and ...

    Text Solution

    |

  13. On a normal standard die one of the 21 dots from any one of the six...

    Text Solution

    |

  14. Number of all four digit numbers having different digits formed of the...

    Text Solution

    |

  15. In how many ways 3 boys and 15 girls can sits together in a row such ...

    Text Solution

    |

  16. The letters of word ZENITH are written in all possible ways. If all ...

    Text Solution

    |

  17. If the number of ways in which the letters of the word ABBCABBC can...

    Text Solution

    |

  18. Find the number of positive integers not exceeding 100 which are div...

    Text Solution

    |

  19. Find the number of polynomials of the form x^3+a x^2+b x+c that are di...

    Text Solution

    |

  20. If f:[a,oo)->[a,oo) be a function defined by f(x)=x^2-2a x+a(a+1). If...

    Text Solution

    |