The vector = x + y + zk is in 3-D with its tail at the...

 

  

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The vector = x + y + zk is in 3-D with its tail at the origin. In each of the following cases, consider the geometric shape traced out by the tip of the vector as x, y, z vary. Q1.1 1 Point Under the restrictions below, what is the geometric shape traced out by the tip of the vector? x= 3, y = 2, z can be any real number. Answer in words, giving as much detail as you can. Enter your answer here Q1.2 1 Point Under the restriction below, what is the geometric shape traced out by the tip of the vector? 9x² +36y² + 42² = 36 4 Answer in words, giving as much detail as you can. Enter your answer here Save Answer Q1.3 1 Point To generate a line parallel to the y-axis through the point (7, 2, 9), give the equation(s) restricting x, y, z. (Type into box or upload photo/scan.) Enter your answer here Please select file(s) Select file(s) Q1.4 1 Point A plane has intercepts (2,0,0), (0, 4, 0), (0, 0, 6). To generate this plane, give the equation(s) restricting , y, z. (Type into box or upload photo/scan.) Enter your answer here Please select file(s) Select file(s) Save Answer Q1.5 1 Point A paraboloid opens in the negative direction around x-axis, and the cross-section perpendicular to x-axis at = -1 is a circle with radius 2. To generate this paraboloid, give the equation(s) restricting , y, z. (Type into box or upload photo/scan.) Enter your answer here. The vector = x + y + zk is in 3-D with its tail at the origin. In each of the following cases, consider the geometric shape traced out by the tip of the vector as x, y, z vary. Q1.1 1 Point Under the restrictions below, what is the geometric shape traced out by the tip of the vector? x= 3, y = 2, z can be any real number. Answer in words, giving as much detail as you can. Enter your answer here Q1.2 1 Point Under the restriction below, what is the geometric shape traced out by the tip of the vector? 9x² +36y² + 42² = 36 4 Answer in words, giving as much detail as you can. Enter your answer here Save Answer Q1.3 1 Point To generate a line parallel to the y-axis through the point (7, 2, 9), give the equation(s) restricting x, y, z. (Type into box or upload photo/scan.) Enter your answer here Please select file(s) Select file(s) Q1.4 1 Point A plane has intercepts (2,0,0), (0, 4, 0), (0, 0, 6). To generate this plane, give the equation(s) restricting , y, z. (Type into box or upload photo/scan.) Enter your answer here Please select file(s) Select file(s) Save Answer Q1.5 1 Point A paraboloid opens in the negative direction around x-axis, and the cross-section perpendicular to x-axis at = -1 is a circle with radius 2. To generate this paraboloid, give the equation(s) restricting , y, z. (Type into box or upload photo/scan.) Enter your answer here.

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Q11 The vector is given as V zi yj zlk Under the restrictions z 3 y 2 and z can be any real number t... View the full answer