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Planes are drawn parallel to the coordin...

Planes are drawn parallel to the coordinate planes through the points P `(x_(1),y_(1),z_(1)) and Q (x_(2),y_(2),z_(2))` find the length of the edges of the parallopiped.

Answer

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Explore conceptually related problems

Let planes are drawn parallel to the coordinate planes through the points (1, 2, 3) and (3, -4, -5). Find the lengths of the edges of the parallelopiped so formed.

Find the scalar components and magnitude of the vector joining the points P(x_(1),y_(1),z_(1))andQ(x_(2),y_(2),z_(2)) .

Knowledge Check

  • A (x_(1),y_(1),z_(1)), B(x_(2),y_(2),z_(2)) are two points. Then the lenghts of projection on

    A
    `{:(A,B,C),(1,2,3):}`
    B
    `{:(A,B,C),(3,5,9):}`
    C
    `{:(A,B,C),(5,9,6):}`
    D
    `{:(A,B,C),(4,2,3):}`
  • If the tangent drawn at a point P on the curve y=3x^(2)-5x+7 is parallel to its chord joining the points (1,y_(1))and(2,y_(2)) on it, then the x-coordinates of the point P is

    A
    `sqrt2`
    B
    `(3)/(2)`
    C
    `(5)/(4)`
    D
    `(4)/(3)`
  • The equation of the plane parallel to the plane 2x + 3y + 4z + 5=0 and passing through the point (1,1,1) is

    A
    `2x + 3y + 4z - 9=0`
    B
    ` 2x + 3y + 4z + 9=0`
    C
    `2x + 3y + 4z + 7=0`
    D
    `2x + 3y + 4z - 7=0`
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