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9. Find the vector and the cartesian equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6).
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Nov
9. Find the vector and the cartesian equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6). 2 3% 5 6 9. Find the vector and the cartesian equations of the line that passes through the points (3 November 15, 2021 Category: Chapter 11 - 3D Geometry [...]
8. Find the vector and the cartesian equations of the lines that passes through the origin and (5, – 2, 3).
15
Nov
8. Find the vector and the cartesian equations of the lines that passes through the origin and (5, – 2, 3). 2 3% 8. Find the vector and the cartesian equations of the lines that passes through the origin and (5 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar [...]
3. Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel to the line through the points (– 1, – 2, 1), (1, 2, 5).
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Nov
3. Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel to the line through the points (– 1, – 2, 1), (1, 2, 5). 1 2 3. Show that the line through the points (4 3% 4) is parallel to the line through the points (– 1 5 7) [...]
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1 ,
2 ,
3. Show that the line through the points (4 ,
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4) is parallel to the line through the points (– 1 ,
5 ,
7) ,
8 ,
2. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).
15
Nov
2. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6). – 2) is perpendicular to the line through the points (0 1 2 2. Show that the line through the points (1 2) and [...]
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– 2) is perpendicular to the line through the points (0 ,
1 ,
2 ,
2. Show that the line through the points (1 ,
2) and (3 ,
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4 ,
5 ,
6 ,
4. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear.
15
Nov
4. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear. 1 2 3% 4 4. Show that the points (2 5 7) are collinear 8 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 ,
Example 17 Find the vector and cartesian equations of the plane which passes through the point (5, 2, – 4) and perpendicular to the line with direction ratios 2, 3, – 1.
15
Nov
Example 17 Find the vector and cartesian equations of the plane which passes through the point (5, 2, – 4) and perpendicular to the line with direction ratios 2, 3, – 1. – 4) and perpendicular to the line with direction ratios 2 1 2 3% Example 17 Find the vector and cartesian equations of [...]
Example 5 Show that the points A (2, 3, – 4), B (1, – 2, 3) and C (3, 8, – 11) are collinear.
15
Nov
Example 5 Show that the points A (2, 3, – 4), B (1, – 2, 3) and C (3, 8, – 11) are collinear. – 11) are collinear. 2 3) and C (3 3% 4 8 B(-1 Example 5 Show that the points A (2 November 15, 2021 Category: Chapter 11 - 3D Geometry , [...]
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– 11) are collinear. ,
2 ,
3) and C (3 ,
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4 ,
8 ,
B(-1 ,
Example 5 Show that the points A (2 ,
Example 3 Find the direction cosines of the line passing through the two points (– 2, 4, – 5) and (1, 2, 3).
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Nov
Example 3 Find the direction cosines of the line passing through the two points (– 2, 4, – 5) and (1, 2, 3). 2 3% 4 5) and (–1 Example 3 Find the direction cosines of the line passing through the two points (– 2 November 15, 2021 Category: Chapter 11 - 3D Geometry , [...]
8. Show that the points A (1, – 2, – 8), B(5, 0, –2) and C(11, 3, 7) are collinear, and find the ratio in which B divides AC.
15
Nov
8. Show that the points A (1, – 2, – 8), B(5, 0, –2) and C(11, 3, 7) are collinear, and find the ratio in which B divides AC. –2) and C(11 2 3% 7) are collinear 8 8. Show that the points A (1 and find the ratio in which B divides AC. B(5 [...]
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–2) and C(11 ,
2 ,
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7) are collinear ,
8 ,
8. Show that the points A (1 ,
and find the ratio in which B divides AC. ,
B(5 ,
9. Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5).
05
Nov
9. Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5). 1 2 3% 5 5) and C(1 9. Find the area of the triangle with vertices A(1 B(2 November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,