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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).
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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 [...]
4. Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 3i + 2j – 2k .
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Nov
4. Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 3i + 2j – 2k . 2 3) and is parallel to the vector 3i + 2j - 2k . 4. Find the equation of the line which passes through the point (1 November [...]
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 ,
3% ,
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).
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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 ,
3% ,
4 ,
5 ,
6 ,
5. Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 2).
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Nov
5. Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 2). 1 2 2) and (– 5 4 5 5. Find the direction cosines of the sides of the triangle whose vertices are (3 November 15, 2021 [...]
4. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear.
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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.
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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 6 Find the vector and the Cartesian equations of the line through the point (5, 2, – 4) and which is parallel to the vector 3i + 2j – 8k .
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Nov
Example 6 Find the vector and the Cartesian equations of the line through the point (5, 2, – 4) and which is parallel to the vector 3i + 2j – 8k . – 4) and which is parallel to the vector 3i + 2j - 8k . 2 Example 6 Find the vector and the [...]
Example 5 Show that the points A (2, 3, – 4), B (1, – 2, 3) and C (3, 8, – 11) are collinear.
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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 ,
3% ,
4 ,
8 ,
B(-1 ,
Example 5 Show that the points A (2 ,