Home | | Maths 12th Std | Exercise 6.2: Scalar triple product

Problem Questions with Answer, Solution - Exercise 6.2: Scalar triple product | 12th Mathematics : UNIT 6 : Applications of Vector Algebra

Chapter: 12th Mathematics : UNIT 6 : Applications of Vector Algebra

Exercise 6.2: Scalar triple product

Maths Book back answers and solution for Exercise questions - Mathematics : Vector Algebra: Scalar triple product: Exercise Questions with Answer, Solution

EXERCISE 6.2

 

1. 


2. Find the volume of the parallelepiped whose coterminous edges are represented by the vectors -6iˆ +14ˆ+10kˆ14iˆ - 10ˆ6kˆ and 2iˆ Ë†- 2kˆ .


3. The volume of the parallelepiped whose coterminus edges are 7iˆ + Î» Ë†âˆ’ 3kˆiˆ + 2 Ë†âˆ’ kˆ−3iˆ + 7 Ë†+ 5kˆ is 90 cubic units. Find the value of Î» .


4. If , are three non-coplanar vectors represented by concurrent edges of a parallelepiped of volume 4 cubic units, find the value of 


5. Find the altitude of a parallelepiped determined by the vectors  = âˆ’2+ 5 + 3k = + 3 âˆ’ 2k  and   = -3+ âˆ’ 2 if the base is taken as the parallelogram determined by and .


6. Determine whether the three vectors 2iˆ + 3 Ë†+ kˆiˆ âˆ’ 2 Ë†+ 2kˆ and 3iˆ + Ë†+ 3kˆ are coplanar.


7. Let  = Ë†+ Ë†+ Ë†k = and = c1ˆ+ cˆ+ c3ˆ. If c= 1 and c= 2 , find csuch that , and  are coplanar.


8. If  show that [] depends on neither x nor y .


9. If the vectors are aiˆ Ë†+ akˆ , iˆ kˆ  and ciˆ Ë†+ bkˆ  are coplanar, prove that is the geometric  mean of and .


10. Let , be three non-zero vectors such that  is a unit vector perpendicular to both and  . If the angle between  and  is Ï€/6. Show that 



Answers:

1. 24

2. 720 cubic units

3. −5

4. ±12

5. 2√3 / 5

6. coplanar

7. 2


Tags : Problem Questions with Answer, Solution , 12th Mathematics : UNIT 6 : Applications of Vector Algebra
Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
12th Mathematics : UNIT 6 : Applications of Vector Algebra : Exercise 6.2: Scalar triple product | Problem Questions with Answer, Solution

Related Topics

12th Mathematics : UNIT 6 : Applications of Vector Algebra


Privacy Policy, Terms and Conditions, DMCA Policy and Compliant

Copyright © 2018-2024 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.