Home
Class 12
MATHS
If vec(a) = 3vec(i) - 2vec(j) + 2vec(i),...

If `vec(a) = 3vec(i) - 2vec(j) + 2vec(i), vec(b) = 6vec(i) + 4vec(j) - 2vec(k), vec(c ) = 3hat(i) - 2hat(j) - 4hat(k)`, Then `vec(a).(vec(b) xx vec(c ))` is

A

118

B

122

C

`-120`

D

`-144`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA 2016

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2002

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS (MCQ.s)|50 Videos

Similar Questions

Explore conceptually related problems

If vec(a) = 2hat(i) - 3hat(j) + 4hat(k), vec(b) = hat(i) + 2hat(j) - 3hat(k) and vec(c ) = 3hat(i) + 4hat(j) - hat(k) , then find vec(a).(vec(b) xx vec(c )) and (vec(a) xx vec(b)).vec(c ) . Is, vec(a).(vec(b) xx vec(c )) = (vec(a) xx vec(b)).vec(c ) ?

If vec(AB) = 3hat(i) + 2hat(j) + 6hat(k), vec(OA) = hat(i) - hat(j) - 3hat(k) , find the value of vec(OB) .

If vec(a) = hat(i) + hat(j) + hat(k), vec(b) = 4hat(i) - 2hat(j) + 3hat(k) and vec(c ) = hat(i) - 2hat(j) + hat(k) , find a vector of magnitude 6 units which is parallel to the vector 2vec(a) - vec(b) + 3vec(c ) .

Write the projection of vec(b) + vec(c ) on vec(a) , where vec(a) = 2hat(i) - 2hat(j) + hat(k), vec(b) = hat(i) + 2hat(j) - 2hat(k) and vec(c ) = 2hat(i) - hat(j) + 4hat(k) .

If vec(a) = 2hat(i) + 2hat(j) + 3hat(k), vec(b) = -hat(i) + 2hat(j) + hat(k) and vec(c )=3hat(i)+2hat(j) such that vec(a)+lambda vec(b) is perpendicular to vec(c) , then find the value of lambda .

Let vec(a) = hat(i) + 4hat(j) + 2hat(k), vec(b) = 3hat(i) - 2hat(j) + 7hat(k) and vec(c )= 2hat(i) - hat(j) + 4hat(k) . Find a vector vec(p) which is perpendicular to both vec(a) and vec(b) and vec(p).vec(c ) = 18 .

Let vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and vec(c ) =hat(i) +hat(j) -hat(k) , vector in the plane of vec(a) and vec(b) whose projection on vec(c ) is 1/(sqrt(3)) is ______.

Find the angle between the vectors vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) - hat(j) + hat(k) .

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2001-Mathematics
  1. If the vecotrs a hat(i) + hat(j) -2 hat(k) and -12 hat(i) + 4hat(j) + ...

    Text Solution

    |

  2. The unit vector perpendicular to the vectors hat(i) -hat(j) + hat(k), ...

    Text Solution

    |

  3. If vec(a) = 3vec(i) - 2vec(j) + 2vec(i), vec(b) = 6vec(i) + 4vec(j) - ...

    Text Solution

    |

  4. The modulus and amplitude of (1 + i)/(1-i) are

    Text Solution

    |

  5. 1, omega, omega^(2) are cube roots of unit x, then their product is

    Text Solution

    |

  6. In the argand diagram the points representing the complex numbers 7 + ...

    Text Solution

    |

  7. Equations of the separate lines of the pair of lines whose equation is...

    Text Solution

    |

  8. The angle between the lines x^(2) + 4xy + y^(2) = 0 is

    Text Solution

    |

  9. The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x +...

    Text Solution

    |

  10. The vertex of the parabola (y-2)^(2) = 16(x-1) is

    Text Solution

    |

  11. Equation of the parabola with its vertex at (1,1) and focus (3,1) is

    Text Solution

    |

  12. Equation of the tangent at (-4,-4) " on " x^(2) = -4y is

    Text Solution

    |

  13. The distance between the foci is 16, eceentricity =1//2, the length of...

    Text Solution

    |

  14. The abscissae of the points where the tangent to curve y = x^(3) - 3x^...

    Text Solution

    |

  15. The function f(x) = 2x^(3) -15x^(2) + 36x + 4 is maximum at

    Text Solution

    |

  16. The value of the int (1)/((x-5)^(2)dx is

    Text Solution

    |

  17. The value of the int(2dx)/(sqrt(1-4x^(2))) is

    Text Solution

    |

  18. The order and degree of the differential equation x (d^(2)y)/(dx^(2)) ...

    Text Solution

    |

  19. Let p be the proposition. Mathematics is interesting and let q be the ...

    Text Solution

    |

  20. If a clock strikes the appropriate number of times at each hour, then ...

    Text Solution

    |