3%
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 [...]
Example 24 Find the area of a triangle having the points A(1, 1, 1), B(1, 2, 3) and C(2, 3, 1) as its vertices.
05
Nov
Example 24 Find the area of a triangle having the points A(1, 1, 1), B(1, 2, 3) and C(2, 3, 1) as its vertices. 1 1) as its vertices. 2 3) and C(2 3% B(1 Example 24 Find the area of a triangle having the points A(1 November 5, 2021 Category: Chapter 10 - Vector [...]
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1 ,
1) as its vertices. ,
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Example 24 Find the area of a triangle having the points A(1 ,
Example 10 Find the vector joining the points P(2, 3, 0) and Q(– 1, – 2, – 4) directed from P to Q.
05
Nov
Example 10 Find the vector joining the points P(2, 3, 0) and Q(– 1, – 2, – 4) directed from P to Q. – 4) directed from P to Q. 0) and Q(– 1 2 3% Example 10 Find the vector joining the points P(2 November 5, 2021 Category: Chapter 10 - Vector Algebra , [...]
9. If 4-digit numbers greater than 5,000 are randomly formed from the digits 0, 1, 3, 5, and 7, what is the probability of forming a number divisible by 5 when, (i) the digits are repeated? (ii) the repetition of digits is not allowed?
05
Nov
9. If 4-digit numbers greater than 5,000 are randomly formed from the digits 0, 1, 3, 5, and 7, what is the probability of forming a number divisible by 5 when, (i) the digits are repeated? (ii) the repetition of digits is not allowed? (i) the digits are repeated? (ii) the repetition of digits is [...]
6.If A and B be the points (3, 4, 5) and (–1, 3, –7), respectively, find the equation of the set of points P such that PA^2 + PB^2 = k^2 , where k is a constant.
30
Oct
6.If A and B be the points (3, 4, 5) and (–1, 3, –7), respectively, find the equation of the set of points P such that PA^2 + PB^2 = k^2 , where k is a constant. 3% 4 5) and (–1 6.If A and B be the points (3 7) find the equation of [...]
A point R with x coordinate 4 lies on the line segment joining the points P (2, -3, 4)and Q (8, 0, 10). Find the coordinates of the point R.
30
Oct
A point R with x coordinate 4 lies on the line segment joining the points P (2, -3, 4)and Q (8, 0, 10). Find the coordinates of the point R. 10). Find the coordinates of the point R. 3% 4)and Q (8 A point R with x coordinate 4 lies on the line segment joining [...]
4. Using section formula, show that the points A (2, –3, 4), B (–1, 2, 1) and C(0,1/3,2) are collinear.
30
Oct
4. Using section formula, show that the points A (2, –3, 4), B (–1, 2, 1) and C(0,1/3,2) are collinear. 1) and C(0 1/3] 2 2) are collinear. 3% 4 4. Using section formula B(-1 show that the points A (2 October 30, 2021 Category: Chapter 12 - Introduction to 3D Geometry , Maths , [...]
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2) are collinear. ,
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4. Using section formula ,
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1. Find the coordinates of the point which divides the line segment joining the points (– 2, 3, 5) and (1, – 4, 6) in the ratio (i) 2 : 3 internally, (ii) 2 : 3 externally.
30
Oct
1. Find the coordinates of the point which divides the line segment joining the points (– 2, 3, 5) and (1, – 4, 6) in the ratio (i) 2 : 3 internally, (ii) 2 : 3 externally. (ii) 2 : 3 externally. 1. Find the coordinates of the point which divides the line segment joining [...]
3. Verify the following: (iii) (–1, 2, 1), (1, –2, 5), (4, –7, 8) and (2, –3, 4) are the vertices of a parallelogram.
30
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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1 ,
2 ,
3. Verify the following: (iii) (–1 ,
3% ,
4 ,
4) are the vertices of a parallelogram. ,
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7) ,
8) and (2 ,