Home
Class 12
MATHS
The value of p such that the vectors hat...

The value of p such that the vectors `hat(i) + 3hat(j) - 2hat(k), 2hat(i) - hat(j) + 4hat(k)` and `3hat(i) + 2hat(j) + p hat(k)` are coplanar is

A

4

B

2

C

8

D

10

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 6

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • SOLVED PAPER 04

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

Find the magnitude of the vector (2hat(i) - 3hat(j) - 6hat(k)) + (-hat(i) + hat(j) + 4hat(k)) .

Find the value of lambda , if the point with position vectors 3hat(i) - 2hat(j) - hat(k), 2hat(i) + 3hat(j) - 4hat(k), -hat(i) + hat(j) + 2hat(k) and 4hat(i) + 5hat(j) + lambda hat(k) are coplanar.

The unit vector perpendicular to the vectors hat(i) -hat(j) + hat(k), 2hat(i) + 3hat(j) -hat(k) is

For what value of 'a' the vectors 2hat(i) - 3hat(j) + 4hat(k) and ahat(i) + 6hat(j) - 8hat(k) are collinear ?

Show that the four points A, B, C and D with position vectors 4hat(i) + 5hat(j) + hat(k) - hat(j) - hat(k), 3hat(i) + 9hat(j) + 4hat(k) and 4(-hat(i) + hat(j) + hat(k)) respectively are coplanar.

If the vectors 2hat(i) + 3hat(j) - 6hat(k) and 4hat(i) - m hat(j) - 12 hat(k) are parallel find m.

Find the sum of vectos a = hat(i)- 2hat(j)+hat(k),b=-2hat(i)+4hat(j)+5hat(k) and c=hat(i)-6hat(j)-7hat(k) .

Show that the vectors 2hat(i)-3hat(j)+4hat(k) and -4hat(i)+6hat(j)-8hat(k) are collinear.

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 9-Mathematics
  1. The value of p such that the vectors hat(i) + 3hat(j) - 2hat(k), 2hat(...

    Text Solution

    |

  2. |(a,b,c),(b,c,a),(c,a,b)| =

    Text Solution

    |

  3. If A = [[1,1,1],[1,1,1],[1,1,1]], A^(2) =

    Text Solution

    |

  4. If omega is a cube root of unity |(1, omega, omega^(2)),(omega, omega^...

    Text Solution

    |

  5. The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| = 0 are

    Text Solution

    |

  6. The inverse of [[3, -2],[-7,5]] is

    Text Solution

    |

  7. From the matrix equation AB = AC we can conclude B = C provided

    Text Solution

    |

  8. Let A = [[1,2],[0,1]]. Then A^(n) =

    Text Solution

    |

  9. In a triangle ABC if a = 2, B = 60^(@) and C = 75^(@), then b =

    Text Solution

    |

  10. If tan^(-1) 2x + tan^(-1) 3x = (pi)/(4), then x =

    Text Solution

    |

  11. The general solution of tan 2 theta tan theta = 1 is theta =

    Text Solution

    |

  12. cos^(-1).(2)/(sqrt(5)) + tan^(-1).(1)/(3) =

    Text Solution

    |

  13. (1 + i)^(5) + (1 - i)^(5) =

    Text Solution

    |

  14. The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

    Text Solution

    |

  15. cos[tan^(-1) {sin(cot^(-1) x)}] =

    Text Solution

    |

  16. The general value of theta which satisfies the equation (cos theta + i...

    Text Solution

    |

  17. The length of the tangent from the point (1, -4) to the circle 2x^(2) ...

    Text Solution

    |

  18. For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x...

    Text Solution

    |

  19. The equation to the parabola with focus (2, 0) and the directrix x + 3...

    Text Solution

    |

  20. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

    Text Solution

    |