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[" 19.If "A(2bar(i)-bar(j)-3bar(k)),B(4b...

[" 19.If "A(2bar(i)-bar(j)-3bar(k)),B(4bar(i)+bar(j)-bar(k)),C(bar(i)-3bar(j)+2bar(k))],[D(bar(i)-bar(j)-2bar(k))" then the vector equation of the "],[" plane parallel to "bar(ABC)" and passing through the "],[" centriod of the tetrahedron "ABCD" is "]

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If A(2bar(i)-bar(j)-3bar(k)), B(4bar(i)+bar(j)-bar(k)), C(bar(i)-3bar(j)+2bar(k)), D(bar(i)-bar(j)-2bar(k)) then the vector equation of the plane parallel to bar(ABC) and passing through the centroid of the tetra-hedron ABCD is

If (2bar(i)-bar(j)-3bar(k)),B(4bar(i)+bar(j)-bar(k)),C(bar(i)-3bar(j)+2bar(k)),D(bar(i)-bar(j)-2bar(k)) then the vector equation of plane parallel to bar(ABC) and passing through centriod of the tetrahedron ABCD is

If (2bar(i)-bar(j)-3bar(k)),B(4bar(i)+bar(j)-bar(k)),C(bar(i)-3bar(j)+2bar(k)) and D(bar(i)-bar(j)+2bar(k)) then the vector equation plane parallel to bar(ABC) and passing the centroid of the tetrahedron ABCD is

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

If A(3bar(i)+2bar(j)-bar(k)), B(2bar(i)-2bar(j)+5bar(k)), C(bar(i)+3bar(j)-bar(k)) then vector equation of the line passing through the centroid of DeltaABC and parallel to bar(BC) is

bar(b)=bar(i)-2bar(j)-3bar(k),bar(b)=2bar(i)+bar(j)-bar(k),bar(c)=bar(i)+ 3bar(j)-2bar(k) then bar(a).(bar(b)xxbar(c))

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

If bar(a) = bar(i) -2bar(j)-3bar(k),bar(b)=2bar(i)+bar(j)-bar(k),bar(c )=bar(i)+3bar(j)-2bar(k) , compute bar(a).(bar(b)xxbar(c)) .

If 2bar(i)-bar(j)+bar(k), bar(i)-3bar(j)-5bar(k), 3bar(i)-4bar(j)-4bar(k) are the vertices of a triangle then the vector equation of the median passing through 2bar(i)-bar(j)+bar(k) is