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Prove that the vectors bara= 2bari - bar...

Prove that the vectors `bara= 2bari - barj + bark, barb = bari -3barj -5bark` and `barc=3bari -4barj -4bark` are coplanar.

Answer

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Explore conceptually related problems

Show that the vectors bara= bari + 3barj + bark, barb =2bari - barj-bark and barc=7barj +3bark are coplanar.

Find the value of lamda , for which the vectors bara=bari-barj+bark,barb=2bari-barj+bark,barc=lamdabari-barj+lamdabark are coplaner.

Knowledge Check

  • If the vectors bara =bari - barj + 2bark, barb =2bari+4barj+bark and barc = gammabari - barj +mubark are mutually orthogonal, then (gamma,mu)=

    A
    (-3,2)
    B
    (2,-3)
    C
    (-2,3)
    D
    (3,-2)

  • If the three vectors 2bari -barj +bark, bari+ 2barj -3bark, 3bari + lamdabarj + 5bark are coplanar then lamda =

    A
    4
    B
    `-4`
    C
    2
    D
    3

  • If the points having the position vectors 3bari - 2barj - barj, 2bari + 3barj - 4bark, bari + barj + 2bark and 4bari+ 5barj + lambda bark are coplanar, then lambda =

    A
    -8
    B
    8
    C
    146/17
    D
    -146/17

    • Similar Questions

    Explore conceptually related problems

    Find the set of vectors reciprocal to the set of vectors bara= 2bari +3barj-bark, barb = bari - barj-2bark, barc=--bari +2barj +2bark

    Find the value of lamda for which the four points with position vectors bari - 2barj + bark, 2bari - barj + lamdabark , 2bari + barj -bark and 3bari + barj - bark are coplanar.

    Prove that the four points 4bari + 5barj +bark, - (barj + bark) , 3bari + 9barj + 4bark , - 4bari + 4barj +4bark are coplanar.

    If bara= bari-2barj-3bark, barb= 2bari+barj-bark, barc= bari+3barj-2bark , find bara xx (barb xx barc) .

    If bara = bari - 2barj - 3bark , barb= 2bari + barj - bark , barc = bari + 3barj - 2bark find bara xx (barb xx barc) .

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