NCERT Exemplar Class 12
9. Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ.
15
Nov
9. Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ. 9. Find the position vector of a point R which divides the [...]
8. Show that the points A (1, – 2, – 8), B(5, 0, –2) and C(11, 3, 7) are collinear, and find the ratio in which B divides AC.
15
Nov
8. Show that the points A (1, – 2, – 8), B(5, 0, –2) and C(11, 3, 7) are collinear, and find the ratio in which B divides AC. –2) and C(11 2 3% 7) are collinear 8 8. Show that the points A (1 and find the ratio in which B divides AC. B(5 [...]
Tags:
–2) and C(11 ,
2 ,
3% ,
7) are collinear ,
8 ,
8. Show that the points A (1 ,
and find the ratio in which B divides AC. ,
B(5 ,
7. If a = i + j + k, b = 2i – j + 3k, and c = i – 2j + k find a unit vector parallel to the vector 2a – b + 3c.
15
Nov
7. If a = i + j + k, b = 2i – j + 3k, and c = i – 2j + k find a unit vector parallel to the vector 2a – b + 3c. 7. If a = i + j + k and c = i - 2j + k find [...]
6. Find a vector of magnitude 5 units, and parallel to the resultant of the vectors a = 2i + 3j – k and b = i – 2j + k. .
15
Nov
6. Find a vector of magnitude 5 units, and parallel to the resultant of the vectors a = 2i + 3j – k and b = i – 2j + k. . 6. Find a vector of magnitude 5 units and parallel to the resultant of the vectors a = 2i + 3j - k [...]
5. Find the value of x for which x(i + j + k ) is a unit vector.
15
Nov
5. Find the value of x for which x(i + j + k ) is a unit vector. 5. Find the value of x for which x(i + j + k ) is a unit vector. November 15, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,
4. If a = b + c, then is it true that I a I = I b I + I c I? Justify your answer.
15
Nov
4. If a = b + c, then is it true that I a I = I b I + I c I? Justify your answer. 4. If a = b + c then is it true that I a I = I b I + I c I? Justify your answer. November 15, 2021 [...]
3. A girl walks 4 km towards west, then she walks 3 km in a direction 30° east of north and stops. Determine the girl’s displacement from her initial point of departure.
15
Nov
3. A girl walks 4 km towards west, then she walks 3 km in a direction 30° east of north and stops. Determine the girl’s displacement from her initial point of departure. 3. A girl walks 4 km towards west then she walks 3 km in a direction 30° east of north and stops. Determine [...]
2. Find the scalar components and magnitude of the vector joining the points P(x1 , y1 , z1 ) and Q (x2 , y2 , z2 ).
15
Nov
2. Find the scalar components and magnitude of the vector joining the points P(x1 , y1 , z1 ) and Q (x2 , y2 , z2 ). 2. Find the scalar components and magnitude of the vector joining the points P(x1 y1) y2) z1 ) and Q (x2 z2 ). November 15, 2021 Category: Chapter [...]
1. Write down a unit vector in XY-plane, making an angle of 30° with the positive direction of x-axis.
15
Nov
1. Write down a unit vector in XY-plane, making an angle of 30° with the positive direction of x-axis. 1. Write down a unit vector in XY-plane making an angle of 30° with the positive direction of x-axis. November 15, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,
11. Let the vectors a and b be such that I a I = 3 and I b I = sqrt2 / 3, then a x b is a unit vector, if the angle between a and b is
05
Nov
11. Let the vectors a and b be such that I a I = 3 and I b I = sqrt2 / 3, then a x b is a unit vector, if the angle between a and b is 11. Let the vectors a and b be such that I a I = 3 and [...]