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Class 12
Maths :-NCERT Solutions - Vector Algebra.

Page No 440:
Question 1:

Compute the magnitude of the following vectors:


Page No 440:
Question 4:

Find the values of x and y so that the vectors are equal


Page No 440:
Question 9:

For given vectors, and , find the unit vector in the direction of the vector 


Page No 440:
Question 12:

Find the direction cosines of the vector 


Page No 440:
Question 15:

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are  respectively, in the ration 2:1

(i) internally

(ii) externally


Page No 447:
Question 2:

Find the angle between the vectors


Page No 447:
Question 5:

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

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


Page No 448:
Question 11:

Show that is perpendicular to, for any two nonzero vectors


Page No 448:
Question 12:

If, then what can be concluded about the vector?


Page No 454:
Question 4:

Show that


Page No 454:
Question 6:

Given that  and. What can you conclude about the vectors?


Page No 454:
Question 8:

If either  or, then. Is the converse true? Justify your answer with an example.


Page No 458:
Question 4:

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


Page No 458:
Question 9:

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors areexternally in the ratio 1: 2. Also, show that P is the mid point of the line segment RQ.