Solution of Chapter 10. Vector Algebra (Mathematics Part-II Book)

Chapter Exercises

Exercise 10.1


Answer the following as true or false.

(i) and are collinear.

(ii) Two collinear vectors are always equal in magnitude.

(iii) Two vectors having same magnitude are collinear.

(iv) Two collinear vectors having the same magnitude are equal.

Exercise 10.2

Exercise 10.3


Show that each of the given three vectors is a unit vector:

Also, show that they are mutually perpendicular to each other.

Exercise 10.4


Find if

Miscellaneous Exercise


If , then is it true that ? Justify your answer.