5
3. Find the ratio in which the YZ-plane divides the line segment formed by joining the points (–2, 4, 7) and (3, –5, 8).
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Oct
3. Find the ratio in which the YZ-plane divides the line segment formed by joining the points (–2, 4, 7) and (3, –5, 8). 3. Find the ratio in which the YZ-plane divides the line segment formed by joining the points (–2 4 5 7) and (3 8 October 30, 2021 Category: Chapter 12 - [...]
3. Verify the following: (iii) (–1, 2, 1), (1, –2, 5), (4, –7, 8) and (2, –3, 4) are the vertices of a parallelogram.
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Oct
3. Verify the following: (iii) (–1, 2, 1), (1, –2, 5), (4, –7, 8) and (2, –3, 4) are the vertices of a parallelogram. 1 2 3. Verify the following: (iii) (–1 3% 4 4) are the vertices of a parallelogram. 5 7) 8) and (2 October 30, 2021 Category: Chapter 12 - Introduction to [...]
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2. Show that the points (–2, 3, 5), (1, 2, 3) and (7, 0, –1) are collinear.
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Oct
2. Show that the points (–2, 3, 5), (1, 2, 3) and (7, 0, –1) are collinear. –1) are collinear. 1 2 2. Show that the points (–2 3) and (7 3% 5 October 30, 2021 Category: Chapter 12 - Introduction to 3D Geometry , Maths , NCERT Exemplar Class 11 ,
4. Fill in the blanks: (i) The x-axis and y-axis taken together determine a plane known as_______. (ii) The coordinates of points in the XY-plane are of the form _______. (iii) Coordinate planes divide the space into ______ octants.
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Oct
4. Fill in the blanks: (i) The x-axis and y-axis taken together determine a plane known as_______. (ii) The coordinates of points in the XY-plane are of the form _______. (iii) Coordinate planes divide the space into ______ octants. 4 5 Example 1 In Fig 12.3 find the coordinates of F. if P is (2 [...]
3. Name the octants in which the following points lie: (1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (– 4, 2, –5), (– 4, 2, 5), (–3, –1, 6) (– 2, – 4, –7).
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Oct
3. Name the octants in which the following points lie: (1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (– 4, 2, –5), (– 4, 2, 5), (–3, –1, 6) (– 2, – 4, –7). 1 2 3. Name the octants in which the following points lie: (1 3% 4 5 6 [...]
3. Name the octants in which the following points lie: (1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (– 4, 2, –5), (– 4, 2, 5), (–3, –1, 6) (– 2, – 4, –7).
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Oct
3. Name the octants in which the following points lie: (1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (– 4, 2, –5), (– 4, 2, 5), (–3, –1, 6) (– 2, – 4, –7). 1 2 3. Name the octants in which the following points lie: (1 3% 4 5 6 [...]
Example 13 The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of A and B are (3, –5, 7) and (–1, 7, – 6), respectively, find the coordinates of the point C.
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Oct
Example 13 The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of A and B are (3, –5, 7) and (–1, 7, – 6), respectively, find the coordinates of the point C. 1 1). If the coordinates of A and B are (3 5 6 7) 7) and [...]
Example 5 Are the points A (3, 6, 9), B (10, 20, 30) and C (25, – 41, 5), the vertices of a right angled triangle?
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Oct
Example 5 Are the points A (3, 6, 9), B (10, 20, 30) and C (25, – 41, 5), the vertices of a right angled triangle? 20 30) and C (25 41 5 6 9 B (10 Example 5 Are the points A (3 the vertices of a right angled triangle? October 30, 2021 Category: [...]
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Example 5 Are the points A (3 ,
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Example 4 Show that the points P (–2, 3, 5), Q (1, 2, 3) and R (7, 0, –1) are collinear.
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Oct
Example 4 Show that the points P (–2, 3, 5), Q (1, 2, 3) and R (7, 0, –1) are collinear. –1) are collinear. 2 3) and R (7 3% 5 Example 4 Show that the points P (–2 Q (1 October 30, 2021 Category: Chapter 12 - Introduction to 3D Geometry , Maths , [...]
Example 1 In Fig 12.3, if P is (2,4,5), find the coordinates of F.
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Oct
Example 1 In Fig 12.3, if P is (2,4,5), find the coordinates of F. 4 5 Example 1 In Fig 12.3 find the coordinates of F. if P is (2 October 30, 2021 Category: Chapter 12 - Introduction to 3D Geometry , Maths , NCERT Exemplar Class 11 ,