Home
Class 11
MATHS
Find t, for which the vectors 2bar(i) - ...

Find t, for which the vectors `2bar(i) - 3bar(j) + bar(k), bar(i) + 2bar(j) -3bar(k) , bar(j) - tbar(k)` are coplanar.

Text Solution

Verified by Experts

The correct Answer is:
t=1
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 4.1 (LONG ANSWER QUESTIONS)|14 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|6 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 4.1 (VERY SHORT ANSWER QUESTIONS)|14 Videos

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

Find the volume of the parallelopiped having co-tenninus edges are represented by the vectors 2 bar(i) - 3bar(j) + bar(k), bar(i) -bar(j) +2bar(k), 2bar(i) + bar(j) -bar(k) .

Show that the four points with position vectors 3bar(i)+5bar(j), 3bar(j)-5k, 5bar(i)-19bar(j)-3bar(k), 6bar(i)-5bar(j) are non coplanar.

If the vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2bar(j)-3bar(k), bar(c ) = 3bar(i) + pbar(j) +5bar(k) are coplanar then find p.

Find the volume of the tetrahedron having the edges , bar(i) + bar(j) + bar(k), bar(i)-bar(j), bar(i) + 2bar(j) + bar(k) .

Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-bar(k)] .

Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k) .

Find the vector area and area of the triangle with vertices bar(i) + bar(j)-bar(k), 2bar(i)- 3bar(j) + bar(k), 3 bar(i) + bar(j)- 2bar(k) .

Let bar(a)=bar(i)+bar(j), bar(b)=bar(j)+bar(k) and bar(c)=alphabar(a)+betabar(b) . If the vectors bar(i)-2bar(j)+bar(k), 3bar(i)+2bar(j)-bar(k) and bar(c) are coplanar then alpha/beta equals

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE - 4.1 (SHORT ANSWER QUESTIONS)
  1. If bara,barb,barc are non-coplaner, then show that the vectors bara -b...

    Text Solution

    |

  2. If the vectors bar(a) = 2bar(i) -bar(j) + bar(k), bar(b) = bar(i) + 2...

    Text Solution

    |

  3. Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2ba...

    Text Solution

    |

  4. For non - coplanar vectors bara,barb and barc determine p for which th...

    Text Solution

    |

  5. If bara,barb,barc are non-coplanar vectors, prove that points with pos...

    Text Solution

    |

  6. Show that the four points -bara+ 4barb - 3barc, 3bara +2barb-5barc,-3b...

    Text Solution

    |

  7. Prove that the four points 4bari + 5barj +bark, - (barj + bark) , 3b...

    Text Solution

    |

  8. Find lambda in order that the four points A(3,2,1), B(4, lambda,5),C(4...

    Text Solution

    |

  9. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

    Text Solution

    |

  10. Let bara be perpendicular to both barb,barc. If |bara|=2, |barb|=3, |b...

    Text Solution

    |

  11. Let bara=bari-bark, barb=xbari + barj+(1-x)bark and c-ybari+xbarj+(1+x...

    Text Solution

    |

  12. If bara=(1,-1,-6),barb=(1,-3,4) and barc(-2,-5,3) then compute baraxx(...

    Text Solution

    |

  13. i) Show that barixx(baraxxbari)+barjxx(baraxxbarj)+barkxx(baraxxbark...

    Text Solution

    |

  14. Show that 3 vectors baraxx(barb xxbarc),barb xx(barcxxbara), barc xx (...

    Text Solution

    |

  15. If barabarbbarc are three unit vectors such that baraxx(barbxxbarc)=1/...

    Text Solution

    |

  16. If bara,barb and barc are non zero non-collinear vectors and theta(ne0...

    Text Solution

    |

  17. Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii...

    Text Solution

    |

  18. If the four vectors a,b,c,d are coplanar, then (a xx b) xx (c xx d) =

    Text Solution

    |

  19. Prove that [barbxxbarc barcxxbara baraxxbarb]=[bara barb barc]^(2...

    Text Solution

    |

  20. If (barbxxbarc)xx(barcxxbara)=3barc, then find [barbxxbarc barcxxbar...

    Text Solution

    |