Chapter 10 – Vector Algebra
19. If θ is the angle between any two vectors a and b , then I a . b I = I a x b I when θ is equal to
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Nov
19. If θ is the angle between any two vectors a and b , then I a . b I = I a x b I when θ is equal to 19. If θ is the angle between any two vectors a and b then I a . b I = I a x b [...]
18. The value of i(j x k) + j(i x k) + k(i x j) is
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Nov
18. The value of i(j x k) + j(i x k) + k(i x j) is 18. The value of i(j x k) + j(i x k) + k(i x j) is November 15, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,
17. Let a and b be two unit vectors and θ is the angle between them. Then a + b is a unit vector if
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Nov
17. Let a and b be two unit vectors and θ is the angle between them. Then a + b is a unit vector if 17. Let a and b be two unit vectors and θ is the angle between them. Then a + b is a unit vector if November 15, 2021 Category: Chapter [...]
16. If θ is the angle between two vectors a and b , then a.b > 0 only when
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Nov
16. If θ is the angle between two vectors a and b , then a.b > 0 only when 16. If θ is the angle between two vectors a and b then a.b > 0 only when November 15, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,
11. Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are 1/sqrt 3, 1/sqrt 3, 1/sqrt 3.
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Nov
11. Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are 1/sqrt 3, 1/sqrt 3, 1/sqrt 3. 1/sqrt 3 11. Show that the direction cosines of a vector equally inclined to the axes OX OY and OZ are 1/sqrt 3 November 15, 2021 Category: Chapter 10 - [...]
10. The two adjacent sides of a parallelogram are 2i – 4j + 5k and i – 2j – 3k. Find the unit vector parallel to its diagonal. Also, find its area.
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Nov
10. The two adjacent sides of a parallelogram are 2i – 4j + 5k and i – 2j – 3k. Find the unit vector parallel to its diagonal. Also, find its area. 10. The two adjacent sides of a parallelogram are 2i - 4j + 5k and i - 2j - 3k. Find the unit [...]
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.
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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.
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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 [...]
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2 ,
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7) are collinear ,
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8. Show that the points A (1 ,
and find the ratio in which B divides AC. ,
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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.
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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. .
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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 [...]