Question

5. Let W be a plane that satisfies 3(x-1)+2(y+3)+2(z-2) = b, where b is a real number. (a) Describe the plane in vector form, explaining your reasoning step by step. (b) Describe the plane in normal form, explaining your reasoning. (c) Pick two values of b and let W? and W? be the corresponding planes. Discuss how the two planes are different and similar.

          5. Let W be a plane that satisfies 3(x-1)+2(y+3)+2(z-2) = b, where b is a real number.
(a) Describe the plane in vector form, explaining your reasoning step by step.
(b) Describe the plane in normal form, explaining your reasoning.
(c) Pick two values of b and let W? and W? be the corresponding planes. Discuss how the two
planes are different and similar.

5. Let W be a plane that satisfies 3(x-1)+2(y+3)+2(z-2) = b, where b is a real number.
(a) Describe the plane in vector form, explaining your reasoning step by step.
(b) Describe the plane in normal form, explaining your reasoning.
(c) Pick two values of b and let W? and W? be the corresponding planes. Discuss how the two
planes are different and similar.

Added by Jennifer R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Let W be a plane that satisfies 3(x-1)+2(y+3)+2(z-2)=b, where b is a real number. (a) Describe the plane in vector form, explaining your reasoning step by step. (b) Describe the plane in normal form, explaining your reasoning. (c) Pick two values of b and let W_(1) and W_(2) be the corresponding planes. Discuss how the two planes are different and similar. 5. Let W be a plane that satisfies 3(x -1)+2(y+3+2(z -2)= b, where b is a real number (a) Describe the plane in vector form, explaining your reasoning step by step (b) Describe the plane in normal form, explaining your reasoning. (c) Pick two values of b and let Wi and W2 be the corresponding planes. Discuss how the two planes are different and similar.