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Three Dimensional Geometry OneShot Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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209 videos|443 docs|143 tests
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FAQs on Three Dimensional Geometry OneShot Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What are the three coordinates required to represent a point in three-dimensional space? |  |
Ans. In three-dimensional geometry, a point is represented by three coordinates: (x, y, z), where x represents the horizontal position, y represents the vertical position, and z represents the depth or distance from the reference point.
| 2. How do you calculate the distance between two points in three-dimensional space? | |
Ans. The distance between two points (x1, y1, z1) and (x2, y2, z2) in three-dimensional space can be calculated using the formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2].
| 3. What is the equation of a sphere in three-dimensional space? | |
Ans. The equation of a sphere in three-dimensional space with center (h, k, l) and radius r is given by:
(x-h)^2 + (y-k)^2 + (z-l)^2 = r^2.
| 4. How do you find the intersection of two planes in three-dimensional space? | |
Ans. To find the intersection of two planes in three-dimensional space, set the equations of the two planes equal to each other and solve for the values of x, y, and z that satisfy both equations simultaneously.
| 5. How do you determine if two lines are parallel, intersecting, or skew in three-dimensional space? | |
Ans. Two lines in three-dimensional space are parallel if their direction vectors are proportional, intersecting if they have a point in common, and skew if they are neither parallel nor intersecting.
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Nov 22, 2024 Last updated |
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