NCERT Exemplar Class 12
10. Find the area of the parallelogram whose adjacent sides are determined by the vectors a = i – j + 3k and b = 2i – 7j + k .
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Nov
10. Find the area of the parallelogram whose adjacent sides are determined by the vectors a = i – j + 3k and b = 2i – 7j + k . 10. Find the area of the parallelogram whose adjacent sides are determined by the vectors a = i - j + 3k and b [...]
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 ,
8. If either a = 0 or b = 0, then a x b = 0 . Is the converse true? Justify your answer with an example.
05
Nov
8. If either a = 0 or b = 0, then a x b = 0 . Is the converse true? Justify your answer with an example. 8. If either a = 0 or b = 0 then a x b = 0 . Is the converse true? Justify your answer with an example. November [...]
7. Let the vectors a . b . c be given as a1i + a2j + a3k, b1j + b2j + b3k, c1i + c2j + c3k. Then show that
05
Nov
7. Let the vectors a . b . c be given as a1i + a2j + a3k, b1j + b2j + b3k, c1i + c2j + c3k. Then show that 7. Let the vectors a . b . c be given as a1i + a2j + a3k b1j + b2j + b3k c1i + c2j [...]
6. Given that a . b = 0 and a x b = 0. What can you conclude about the vectors a and b?
05
Nov
6. Given that a . b = 0 and a x b = 0. What can you conclude about the vectors a and b? 6. Given that a . b = 0 and a x b = 0. What can you conclude about the vectors a and b? November 5, 2021 Category: Chapter 10 - [...]
5. Find λ and µ if (2i + 6j + 27k) x ( i + lamba j + uk) = 0
05
Nov
5. Find λ and µ if (2i + 6j + 27k) x ( i + lamba j + uk) = 0 5. Find λ and µ if (2i + 6j + 27k) x ( i + lamba j + uk) = 0 November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT [...]
4. Show that (a – b) x (a + b) = 2(a x b)
05
Nov
4. Show that (a – b) x (a + b) = 2(a x b) 4. Show that (a - b) x (a + b) = 2(a x b) November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,
3. If a unit vector makes angles with , with π/3 with i, π/4 with j and an acute angle θ with k , then find θ and hence, the components of a.
05
Nov
3. If a unit vector makes angles with , with π/3 with i, π/4 with j and an acute angle θ with k , then find θ and hence, the components of a. 3. If a unit vector makes angles with the components of a. then find θ and hence with π/3 with i π/4 [...]
2. Find a unit vector perpendicular to each of the vector a + b and a – b, where a = 3i + 2j + 2k and b = i + 2j – 2k.
05
Nov
2. Find a unit vector perpendicular to each of the vector a + b and a – b, where a = 3i + 2j + 2k and b = i + 2j – 2k. 2. Find a unit vector perpendicular to each of the vector a + b and a - b where a = [...]
1. Find I a x b I, if a = i – 7j + 7k and b = 3i – 2j + 2k.
05
Nov
1. Find I a x b I, if a = i – 7j + 7k and b = 3i – 2j + 2k. 1. Find I a x b I if a = i - 7j + 7k and b = 3i - 2j + 2k. November 5, 2021 Category: Chapter 10 - Vector Algebra [...]