Home
Class 12
MATHS
If vec(a)=hat(i)+hat(j)+hat(k),vec(b)=ha...

If `vec(a)=hat(i)+hat(j)+hat(k),vec(b)=hat(i)+hat(j),vec(c)=hat(i)and(vec(a)xxvec(b))xxvec(c)=lambdavec(a)+muvec(b),` then the value of `lamda+mu` is

A

0

B

1

C

6

D

3

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( Choose the Correct or the most suitable answer from the given four alternatives : )|25 Videos

  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( II. Fill in the blanks : )|15 Videos

  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise EXERCISE 6.9|8 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|35 Videos

  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS )|6 Videos

Similar Questions

Explore conceptually related problems

If vec(a)=hat(i)+2hat(j)+3hat(k),vec(b)=2hat(i)-hat(j)+hat(k),vec(c)=3hat(i)+2hat(j)+hat(k)andvec(a)xx(vec(b)xxvec(c))=lvec(a)+mvec(b)+nvec(c) find the values fo l,m,n.

If vec(a)=hat(i)-hat(j),vec(b)=hat(j)-hat(k),vec(c)=hat(k)-hat(i)" then find "[vec(a)-vec(b),vec(b)-vec(c),vec(c)-vec(a)]

If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=3hat(i)+5hat(j)+2hat(k),vec(c)=-hat(i)-2hat(j)+3hat(k), (vec(a)xxvec(b))xxvec(c)=(vec(a)*vec(c))vec(b)-(vec(b)*vec(c))vec(a)

If vec(a)=vec(i)+2hat(j)+3hat(k),vec(b)=2hat(i)+hat(j)-2hat(k),vec(c)=3hat(i)+hat(2j)+hat(k)," find "vec(a)*(vec(b)xxvec(c))

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

If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=3hat(i)+5hat(j)+2hat(k),vec(c)=-hat(i)-2hat(j)+3hat(k), vec(a)(vec(a)xxvec(b))=(vec(a)*vec(c))vec(b)-(vec(a)*vec(b))vec(c)

vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=-hat(i)+2hat(j)-4hat(k),vec(c)=hat(i)+hat(j)+hat(k)" then find the of "(vec(a)xxvec(b))*(vec(a)xxvec(c)).

If vec(a)=hat(i)+2hat(j)+3hat(k),vec(b)=-hat(i)+2hat(j)+hat(k),vec(c)=3hat(i)+hat(j)" then "vec(a)+tvec(b) will be perpendicular to vec(c) only when t =

Given vec(a) = 3 hat(i) + 2 hat(j) - hat(k) and vec(b) = hat(i) + hat(j) + 3 hat(k) Determine vec(a) - vec(b)

SURA PUBLICATION-APPLICATIONS OF VECTORA ALGEBRA-EXERCISE 6.10 (Choose the Correct or the most suitable answer from the given four alternative : )
  1. The volume of the parallelepiped with its edges represented by the vec...

    Text Solution

    |

  2. If vec(a)andvec(b) are unit vectors such that [vec(a),vec(b),vec(a)xxv...

    Text Solution

    |

  3. If vec(a)=hat(i)+hat(j)+hat(k),vec(b)=hat(i)+hat(j),vec(c)=hat(i)and(v...

    Text Solution

    |

  4. If vec(a),vec(b),vec(c) are non-coplanar, non-zero vectors such that [...

    Text Solution

    |

  5. If vec(a),vec(b),vec(c) are three non-coplanar vectors such that vec(a...

    Text Solution

    |

  6. If the volume of the parallelpiped with vec(a)xxvec(b),vec(b)xxvec(c),...

    Text Solution

    |

  7. Consider the vectors, vec(a),vec(b),vec(c),vec(d) such that (vec(a)xxv...

    Text Solution

    |

  8. If vec(a)xx(vec(b)xxvec(c))=(vec(a)xxvec(b))xxvec(c)," where "vec(a),v...

    Text Solution

    |

  9. If vec(a)=2hat(i)+3hat(j)-hat(k),vec(b)=hat(i)+2hat(j)-5hat(k),vec(c)=...

    Text Solution

    |

  10. The angle between the lines (x-2)/(3)=(y+1)/(-2),z=2and(x-1)/(1)=(2y+3...

    Text Solution

    |

  11. If the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2)" lies in the plane "x+3y-az...

    Text Solution

    |

  12. The angle between the lines vec(r)=(hat(i)+2hat(j)-3hat(k))+t(2hat(i)+...

    Text Solution

    |

  13. The coordinates of the point where the line vec(r)=(6i-j-3k)+t(-i+4k)"...

    Text Solution

    |

  14. Distance from the origin to the plane 3x - 6y + 2z + 7 = 0 is

    Text Solution

    |

  15. The distance between the planes x + 2y + 3z + 7 = 0 and 2x + 4y + 6z +...

    Text Solution

    |

  16. If direction cosines of a line are (1)/(c),(1)/(c),(1)/(c)," then. "

    Text Solution

    |

  17. The vector equation vec(r)=(hat(i)-2hat(j)-hat(k))+t(6hat(j)-hat(k)) r...

    Text Solution

    |

  18. If the distance of the point (1,1,1) from the origin is half of its di...

    Text Solution

    |

  19. If the planes vec(r)*(2hat(i)-lamdahat(j)+hat(k))=3andvec(r)(4hat(i)+h...

    Text Solution

    |

  20. If the length of the perpendicular from the origin to the plane 2x+3y+...

    Text Solution

    |