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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] .
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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 [...]
14. If either vector a = 0 or b = 0, then a.b = 0. But the converse need not be true. Justify your answer with an example.
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Nov
14. If either vector a = 0 or b = 0, then a.b = 0. But the converse need not be true. Justify your answer with an example. 14. If either vector a = 0 or b = 0 then a.b = 0. But the converse need not be true. Justify your answer with an [...]
13. If a, b, c are unit vectors such that a + b + c = 0, find the value of a.b + b.c + c.a.
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Nov
13. If a, b, c are unit vectors such that a + b + c = 0, find the value of a.b + b.c + c.a. 13. If a B c are unit vectors such that a + b + c = 0 find the value of a.b + b.c + c.a. November 5, 2021 [...]
12. If a . a = 0 and a . b = 0, then what can be concluded about the vector ?
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Nov
12. If a . a = 0 and a . b = 0, then what can be concluded about the vector ? 12. If a . a = 0 and a . b = 0 then what can be concluded about the vector ? November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths [...]
11. Show that I a Ib + I b I a is perpendicular to I a Ib – I b I a, for any two nonzero vectors a and b .
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Nov
11. Show that I a Ib + I b I a is perpendicular to I a Ib – I b I a, for any two nonzero vectors a and b . 11. Show that I a Ib + I b I a is perpendicular to I a Ib - I b I a for any [...]
10. If a = 2i + 2j + 3k, b = -i + 2j + k and c = 3i + j are such that a + lamba b is perpendicular to c , then find the value of λ.
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Nov
10. If a = 2i + 2j + 3k, b = -i + 2j + k and c = 3i + j are such that a + lamba b is perpendicular to c , then find the value of λ. 10. If a = 2i + 2j + 3k b = -i + 2j + [...]
9. Find I x I, if for a unit vector a, (x – a).(x + a) = 12.
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Nov
9. Find I x I, if for a unit vector a, (x – a).(x + a) = 12. (x - a).(x + a) = 12. 9. Find I x I if for a unit vector a November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,
8. Find the magnitude of two vectors a and b , having the same magnitude and such that the angle between them is 60^o and their scalar product is 1/2 .
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Nov
8. Find the magnitude of two vectors a and b , having the same magnitude and such that the angle between them is 60^o and their scalar product is 1/2 . 8. Find the magnitude of two vectors a and b having the same magnitude and such that the angle between them is 60^o and [...]
7. Evaluate the product (3a – 5b) . (2a + 7b).
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Nov
7. Evaluate the product (3a – 5b) . (2a + 7b). 7. Evaluate the product (3a - 5b) . (2a + 7b). November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,
6. Find, I a I and I b I if (a + b) . (a – b) and I a I = 8 I b I.
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Nov
6. Find, I a I and I b I if (a + b) . (a – b) and I a I = 8 I b I. 6}. Find I a I and I b I if (a + b) . (a - b) and I a I = 8 I b I. November 5, 2021 [...]