how to find distance between plane and plane, plane and line, plane and a point using corss product ?

Q: Determine the center and radius:

A: General equation of circle is given by (x-h)2+(y-k)2=r2 Where (h,k) represent center and r represent…

Q: Define Orthogonality Relations sine-sine?

A: We have to Define the Orthogonality relations for sine.

Q: 5. a) What is the orthogonal projection ŷ, of y = 1 (2) b) Compute the distance from y to the line…

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Q: 1) Find the vector and parametric equation of the line in R³ through the point P = (1, 2,-4) 5…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A line is defined by the symmetric equation -2=2+1=2-5 t ER. a) Write the parametric and vector…

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Q: Find the projection of the point (-8,2,3) onto the zz-plane.

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Q: 6. Write vector and parametric equations of the plane. a) parallel to the xz-plane and through the…

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Q: Vectors What is the angle between x=(3,3) and y=(-9,-3) in degrees?

A: GIven Vector x = 3i+3jy = -9i-3jFind the angle between the vectors in degrees

Q: Horizontal plane Q and vertical plane N intersect.

A: Explanation: Here we will draw the two planes Q is horizontal plane & N is vertical plane.

Q: Convent Cartesian equation to Parametric a) x² - y² = 4 b) y= ex et

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Q: Vrite the parametric equation of the line representing the intersection of the x+ 2y + z = 5, x – 3y…

A: Answer

Q: Polar coordinates of the point (1, √3) in Cartesian coordinates. Which of the following is the…

A: Using formula of conversion from Cartesian to polar coordinates.

Q: can you help find the parametric equation of a plane that goes though the point (2,0,1). the plane…

A: Given the required Plane passes through the point  Suppose  that .Also, given  that  the  given…

Q: (c) Use vector methods to find the point P on the circle (x - 5)² + (y-4)² = 4 which is closest to…

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Q: Find parametric equations for the line described below. The line through the point P(2, 5, 0) and…

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Q: What is plane and cartesian plane?

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Q: Find the distance between the point (3,11,-2) and the plane X t 2y

A: Explanation of the answer is as follows

Q: Question 2 > Consider the point P(2,-1,-4) and the vectors a = and . (a) Find the unit vector u that…

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