A plane in R³ contains the point (-r, 0, 1) and has the vector (1,4,3r) as a normal, where r is a real number. (a) Determine the equation of the plane in terms of r. [3]

Q: Find a vector equation of a plane having x-intercept 4, y-intercept -1, and a z-intercept of 5.…

A: The x-intercept is 4. The y-intercept is -1. The z-intercept is 5.

Q: Find eguation of a Plane that an contains the vector: and and Z=3E

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Q: A plane in R³ contains the point (-r, 0, 1) and has the vector (1,4,3r) as a normal, where r is a…

A: Explained above in detail.

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A: .

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A: A plane in ℝ3 is perpendicular to the vector 4, 2, -9 and contains point -9, 5, -8To find the…

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Q: The plane passing through the three points A(0, 1,3), B(3,4,3) and C(2,3, –1) can be expressed as a…

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A: Use equation of plane and put value

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A: