Question: a. Use vectors to show that the distance from P 1 (x 1 , y 1 , z 1 ) to the plane Ax +

a. Use vectors to show that the distance from P₁(x₁, y₁, z₁) to the plane Ax + By + Cz = D is d = |Ax + By + Cz D| VA+ B + C

b. Find an equation for the sphere that is tangent to the planes x + y + z = 3 and x + y + z = 9 if the planes 2x - y = 0 and 3x - z = 0 pass through the center of the sphere.

d = |Ax + By + Cz D| VA+ B + C

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ANSWER a Lets first find the equation of the plane in vector form We can write the normal vector to ... View full answer

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