Prove that the four points 4bari + 5ba...

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

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

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

Find the volume of tetrahedron formed by the four planes barr. (bari + barj) = 0 , barr. (barj + bark) = 0, barr. (bari + bark) = 0 and barr. (bari + barj + bark) = 4.

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

The four points whose position vectors are 6bari -7 barj, 16bari -29barj-4bark, 3barj-6bark, 2bari +5barj +10bark are

[bari-barj bark]+[-bari-barj bark]+[bari-bark bark] =

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

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PRODUCT OF VECTORS-EXERCISE 5(c) II

If [vecb" "vec(c)" "vecd]+[vec(c)" "vec(a)" "vecd]+[vec(a)" "vecb" "ve...
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It a,b and c are non-coplanar vectors and the four points with positio...
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veca,vecb and vec(c) are non-zero and non-collinerr vectors and thetan...
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Find the volume of the tetrahedron, whose vertices are (1,2,1), (3,2,5...
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Show that (veca+vecb).(vecb+vec(c))xx(vec(c)+veca)=2[a" b c"].
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Show that the equation of plane passing through the points with positi...
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Prove that vecaxx[vecaxx(vecaxxvecb)]=(veca.veca)(vecbxxveca).
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If veca,vecb,vecc,vecd are coplaner vectors, then (vecaxxvecb)xx(veccx...
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Show that [(vec(a)xxvec(b))xx(vec(a)xxvec(c)))].vec(d)=(veca.vecd)[vec...
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Show that vec(alpha).[(vec(beta)+vec(chi)xx(vec(alpha)+vec(beta)+vec(c...
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Find lambda in order that the four points A(3,2,1), B(4, lambda,5),C(4...
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Find the vector equation of the plane passing through the intersection...
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Find the equation of the plane passing through (a,b,c) and parallel to...
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Find the shortest distance between the lines and ...
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Prove that the four points 4bari + 5barj +bark, - (barj + bark) , 3b...
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If veca,vecb,vec(c) are non-coplanar, then show that the vectors veca-...
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If veca,vecb,vec(c) are the position vectors of the points A,B and C r...
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