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A long straight wire carriers a current along the x-axis. Consider the points A(0,1,0), B(0,1,1), C(1,0,1) and D(1,1,1). Which of the following pairs of points will have magnetic field of the same magnitude?
18
Nov
A long straight wire carriers a current along the x-axis. Consider the points A(0,1,0), B(0,1,1), C(1,0,1) and D(1,1,1). Which of the following pairs of points will have magnetic field of the same magnitude? 0 ) 1 1) and D(1 1). Which of the following pairs of points will have magnetic field of the same magnitude? [...]
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).
15
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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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).
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 ,
5. Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 2).
15
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.
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 2 If a line has direction ratios 2, – 1, – 2, determine its direction cosines.
15
Nov
Example 2 If a line has direction ratios 2, – 1, – 2, determine its direction cosines. 1 2 determine its direction cosines. Example 2 If a line has direction ratios 2 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 ,
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 ,
15. If the vertices A, B, C of a triangle ABC are (1, 2, 3), (–1, 0, 0), (0, 1, 2), respectively, then find ∠ABC. [∠ABC is the angle between the vectors BA and BC] .
05
Nov
15. If the vertices A, B, C of a triangle ABC are (1, 2, 3), (–1, 0, 0), (0, 1, 2), respectively, then find ∠ABC. [∠ABC is the angle between the vectors BA and BC] . 0 ) 1 15. If the vertices A 2 3% B C of a triangle ABC are (1 respectively [...]
16. Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, –2).
05
Nov
16. Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, –2). 1 16. Find the position vector of the mid point of the vector joining the points P(2 2 3% 4) and Q(4 November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths [...]