7 items are filed under this topic.
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The line of intersection of two planes |
2015-12-09 |
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From Rabz:
Determine the vector equation for the intersection between the two given planes
2x+7y equal to 14,x+z equal to 7
Answered by Penny Nom. |
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The distance from a point to a line in 3 space |
2006-10-29 |
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From Marie:
find the distance from the point (1, -2, -3) to the line x = y = z-2
Answered by Penny Nom. |
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Vectors in three space |
2004-10-30 |
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From Jo:
I have two questions that I just cannot visulise and dont know how to get started on them..!
1. Ship X is sailing North at 4m/s and Ship Y is sailing due East at 3m/s. A sailor on Ship X climbs a vertical pole at 1/2 m/s. What is the velocity of the sailor on Ship X relative to an observer on Ship Y? State it's magnitude and direction.
Not sure where to start with this one...
2. Show, using vectors, that for any tetrahedron, the segments joining the midpoints of the opposite edges are concurrent.
i know what a tetradedron is, and what I am proving but do I solve simultaneously for a specific case??
Answered by Walter Whiteley. |
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A cone in 3 space |
2002-03-20 |
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From Matthew:
Let C in R3 be the cone defined by x2 + y2 - z2 = 0 (A) Let P be the plane described by x + 2z = 1 (i) Find a description of P in terms of two parameters s and t .
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Answered by Walter Whiteley. |
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A set of points in space |
2002-03-18 |
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From Victoria:
Describe the given set with a single equation or a pair of equations: The set of points in space that lie 2 units from the point(0,0,1) and at the same time 2 units from the point (0,0,-1).
Answered by Penny Nom. |
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A line in 3 dimensions |
2001-10-17 |
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From Murray:
I'm working on a complicated proof and i need the equation for a line in 3 dimensions.
Answered by Claude Tardif. |
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Intersection of planes |
1998-11-22 |
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From Dave Rasmussen:
I am a teacher of secondary mathematics with a question about the uses of Three Dimensional Co-ordinate Geometry. I have been teaching my students to write equations of planes and lines, - to find the intersection of these and the distance between them. What I am having difficulty finding are good applications of these techniques to "real world" situations. Can anybody help me?
Answered by Walter Whiteley and Harley Weston. |
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