6
9. Find the vector and the cartesian equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6).
15
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 [...]
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 ,
3% ,
4 ,
5 ,
6 ,
Example 7 Find the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6).
15
Nov
Example 7 Find the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6). 2) and (3 4 6 Example 7 Find the vector equation for the line passing through the points (–1 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 [...]
16. Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10, –1) are collinear.
05
Nov
16. Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10, –1) are collinear. –1) are collinear. 10 16. Show that the points A(1 2 3) and C(3 6 7) B(2 November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,
8. Find the unit vector in the direction of vector PQ, where P and Q are the points (1, 2, 3) and (4, 5, 6), respectively.
05
Nov
8. Find the unit vector in the direction of vector PQ, where P and Q are the points (1, 2, 3) and (4, 5, 6), respectively. 2 3) and (4 5 6 8. Find the unit vector in the direction of vector PQ respectively where P and Q are the points (1 November 5, 2021 [...]
3. If the origin is the centroid of the triangle PQR with vertices P (2a, 2, 6), Q (– 4, 3b, –10) and R(8, 14, 2c), then find the values of a, b and c.
30
Oct
3. If the origin is the centroid of the triangle PQR with vertices P (2a, 2, 6), Q (– 4, 3b, –10) and R(8, 14, 2c), then find the values of a, b and c. –10) and R(8 14 2 2C 3. If the origin is the centroid of the triangle PQR with vertices P [...]
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–10) and R(8 ,
14 ,
2 ,
2C ,
3. If the origin is the centroid of the triangle PQR with vertices P (2a ,
3b ,
6 ,
b and c`. ,
Q (– 4 ,
then Find the values of a ,
2. Find the lengths of the medians of the triangle with vertices A (0, 0, 6), B (0,4, 0) and (6, 0, 0).
30
Oct
2. Find the lengths of the medians of the triangle with vertices A (0, 0, 6), B (0,4, 0) and (6, 0, 0). 0 ) 0) and (6 2. Find the lengths of the medians of the triangle with vertices A (0 4 6 B = 0 October 30, 2021 Category: Chapter 12 - Introduction [...]
5. Find the coordinates of the points which trisect the line segment joining the points P (4, 2, – 6) and Q (10, –16, 6).
30
Oct
5. Find the coordinates of the points which trisect the line segment joining the points P (4, 2, – 6) and Q (10, –16, 6). – 6) and Q (10 16 … 2 5. Find the coordinates of the points which trisect the line segment joining the points P (4 6 October 30, 2021 Category: [...]
3. Verify the following: (ii) (0, 7, 10), (–1, 6, 6) and (– 4, 9, 6) are the vertices of a right angled triangle.
30
Oct
3. Verify the following: (ii) (0, 7, 10), (–1, 6, 6) and (– 4, 9, 6) are the vertices of a right angled triangle. 1 10 3. Verify the following: (ii) (0 6 6) and (4 6) are the vertices of a right angled triangle. 7) 9 October 30, 2021 Category: Chapter 12 - Introduction [...]
Tags:
1 ,
10 ,
3. Verify the following: (ii) (0 ,
6 ,
6) and (4 ,
6) are the vertices of a right angled triangle. ,
7) ,
9 ,
3. Verify the following: (i) (0, 7, –10), (1, 6, – 6) and (4, 9, – 6) are the vertices of an isosceles triangle.
30
Oct
3. Verify the following: (i) (0, 7, –10), (1, 6, – 6) and (4, 9, – 6) are the vertices of an isosceles triangle. – 6) are the vertices of an isosceles triangle. 1 10 3. Verify the following: (i) (0 6 6) and (4 7) 9 October 30, 2021 Category: Chapter 12 - Introduction [...]
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– 6) are the vertices of an isosceles triangle. ,
1 ,
10 ,
3. Verify the following: (i) (0 ,
6 ,
6) and (4 ,
7) ,
9 ,