Chapter 11 – 3D Geometry
5. Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2i – j + 4k and is in the direction i + 2j – k .
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Nov
5. Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2i – j + 4k and is in the direction i + 2j – k . 5. Find the equation of the line in vector and in cartesian form that passes through the point [...]
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 ,
1. Show that the three lines with direction cosines 12/3, -3/13, -4/13, 4/13, 12/13, 3/13, 3/13, -4/13, 12/13 are mutually perpendicular.
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Nov
1. Show that the three lines with direction cosines 12/3, -3/13, -4/13, 4/13, 12/13, 3/13, 3/13, -4/13, 12/13 are mutually perpendicular. -3/13 -4/13 1. Show that the three lines with direction cosines 12/3 12/13 12/13 are mutually perpendicular. 3/13 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 [...]
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 ,
3. If a line has the direction ratios – 18, 12, – 4, then what are its direction cosines ?
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Nov
3. If a line has the direction ratios – 18, 12, – 4, then what are its direction cosines ? -12 3. If a line has the direction ratios – 18 4 then what are its direction cosines ? November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 [...]
2. Find the direction cosines of a line which makes equal angles with the coordinate axes.
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Nov
2. Find the direction cosines of a line which makes equal angles with the coordinate axes. 2. Find the direction cosines of a line which makes equal angles with the coordinate axes. November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 ,
1. If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines.
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Nov
1. If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines. 1. If a line makes angles 90° 135 45° with the x find its direction cosines. y and z-axes respectively November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class [...]