Example 6: Determine whether the planes 3x+ y- 4z = 3 and -9x-3y+12z= 4 are | orthogonal, parallel, or neither. Find the angle of intersection and the set of parametric equations for the line of intersection of the plane.

Q: Find the equation of a plane bisecting the line segment joining (2,0,6) and (6,2,4) and…

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Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

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Q: What is meant by the conjugate axis and focal axis?

A: To define conjugate axis and focal axis.

Q: 19) Find the equation for the line in 3-space passing through the points (2,5,3) and (3, -3, 7)…

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Q: A=(2,3,1) and G=(10,7,5) Write a parametric equation to describe the movement from A and G?

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Q: If the equation of a plane is given by 2x - 10y + 11z = 30 Then classify the following phrase as…

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Q: Consider the Point (-2,1,3) and the plane -3x2 +x2 +4x3=7. Find parametric equations of the line…

A: The direction vector of a line perpendicular to a plane is same as the normal vector of the…

Q: ind the distance between the point (-1, 2, 1) and the plane 2x + 3y - 4z = 7. OTE: Give your answer…

A: Given query is to find the distance between the point and the plane.

Q: sketch the plane in three-dimensional space represented by the equation z =-4

A: Introduction: The most standard form in which a plane is expressed is ax+by+cz+d=0 Here, a,b,c is…

Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

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Q: If not, find a parametric equation of the line of intersection of the two planes. Find, correct to…

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Q: Do two points determine a plane?

A: No.