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Find matrix A and B
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- 1) Let A = (0, 0, 0) and B = (2, 0, 0). a) Find a point C in the xy-plane that is a distance 2 from both A and B. b) Find a point D in 3-space that is a distance 2 from each of A, B, and C. c) Describe the figure obtained by joining A, B, C and D by straight lines.Points on the same line are called? a. Pointb. Line c. Coplanar d. Collinear pointsFind the locus of points equidistant from two intersecting lines a and b and 2 in. from line a. 15.) The locus points 2 in. from line a is a. two lines that are perpendicular to line a and 2 in. apart b. two lines that are parallel to line a, one on each side of it, each 2 in. from it c. a line that is the perpendicular bisector of line a d. a circle that is tangent to line a with a radius of 2 in.
- Give a geometric description of the set of points in space whose coordinates satisfy the given pair of equations. x2+y2=36, z=3 Choose the correct description. A. The circle with center (6,6,0) and radius 3, parallel to the xy-plane B. The circle with center (0,0,3) and radius 6, parallel to the xy-plane C. The line through (6,6,3), parallel to the z-axis D. The line that passes through the points (6,0,3) and (0,6,3)Points A, B, C, and D are coplanar; B, C, and D are collinear; point E is not in plane M. How many planes contain a. points A, B, and C? b. points B, C, and D? c. points A, B, C, and D? d. points A, B, C, and E?An arctic village maintains a circular cross-country ski trail that has a radius of 2.3 kilometers. A skier started skiing from the position (0.163, 2.294), measured in kilometers, and skied counter-clockwise for 0.92 kilometers, where he paused for a brief rest. (Consider the circle to be centered at the origin). Determine the ordered pair (in both kilometers and radii) on the coordinate axes that identifies the location where the skier rested. (Hint: Start by drawing a diagram to represent this situation.)
- Parts (a) through (d) justify Theorem 1-2: Through a line and a point notin the line there is exactly one plane.a. If P is a point not in line k, what postulate per- mits us to state that there are two points R and S in line klb. Then there is at least one plane X that contains pointsP, R, and S. Why?c. What postulate guarantees that plane X containsline kl Now we know that there is a plane X that contains both point P and line k. d. There can't be another plane that contains point Pand line k, because then two planes would containnoncollinear points P, R, and 5. What postulatedoes this contradict?How would you describe points I,L,C? A. Collinear B. Coplanar C. Non Collinear D. Non Coplanar here are the choices: A only B only C only D only A and B only A and C only A and D only B and C only B and D only C and D only A, B and C only A, C and D only B, C and D only All of the choices None of the choicesThe figure is called a ______. Its height is ______. Its width is ______. Line OB in the top view is line ______ in the isometric. Line 5-1 in the isometric is line ______ in the top view. Line AB is line _____ in the isometric. Surface OBC is line _____ in the front view. Line OC is surface _____ in the top view. Surface COD is surface_____ in the isometric. Surface BCO is surface _____ in the isometric. What is the length of line BC? _____ Surface 5-1-2 is surface _____ in the top view. Surface AOD is line _____ in the front view. Line 5-3 in the isometric is line _____ in the front view. Line 5-3 in the isometric is line _____ in the top view. Line OA is line _____ in the isometric. Surface 1-2-3-4 is surface _____in the top view. Point 5 in the isometric is point _____ in the top view. Point O in the front view is point ____ in the top view. Line 4-5 in the isometric is line _____ in the top view.
- Sketch the hyperplane X 1 − X 2 = 0. Indicate (by using either different colors or symbols) the set of points for which X 1 − X 2 > 0, as well as the set of points for which X 1 − X 2 < 0. To which class do the following points belong: i. X 1 = 1,X 2 = 1, ii. X 1 = 0,X 2 = −1, iii. X 1 = 0,X 2 = 1 ( don't hand writing solution)Span: Select one of the following: 1. A plane through the origin. 2. A line through the origin. 3. Origin. 4. R3"Collinear points are points lying on the same line" what is the if-then form? if-then form: