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Three Dimension...

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  • Question 1
    2 / -0.83

    Skew lines are lines in different planes which are

  • Question 2
    2 / -0.83

    If a line has the direction ratios –18, 12, –4, then what are its direction cosines ?

  • Question 3
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    Equation of a plane which is at a distance d from the origin and the direction cosines of the normal to the plane are l, m, n is.

  • Question 4
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    Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to the vector

  • Question 5
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    In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them. 2x –y + 3z –1 = 0 and 2x –y + 3z + 3 = 0

  • Question 6
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    Angle between skew lines is

  • Question 7
    2 / -0.83

    Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector

  • Question 8
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    The equation of a plane through a point whose position vector is    perpendicular to the vector   . is

  • Question 9
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    Find the Cartesian equation of the plane  

  • Question 10
    2 / -0.83

    In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them. 4x + 8y + z –8 = 0 and y + z –4 = 0

  • Question 11
    2 / -0.83

    If  l1 , m1 , n1  and  l2 , m2 , n2  are the direction cosines of two lines; and  θ is the acute angle between the two lines; then

  • Question 12
    2 / -0.83

    Find the equation of the line in cartesian form that passes through the point with position vector    and is in the direction

  • Question 13
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    Equation of a plane passing through three non collinear points (x1 , y1 , z1 ),(x2 , y2 , z2 ) and (x3 , y3 , z3 ) is

  • Question 14
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    Find the Cartesian equation of the plane  

  • Question 15
    2 / -0.83

    Find the distance of the point (0, 0, 0) from the plane 3x –4y + 12 z = 3

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