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Class 12
Maths :-NCERT Solutions - Vector Algebra.

Page No 458:
Question 4:

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


Answer:

Now, by the triangle law of vector addition, we have.

It is clearly known that  represent the sides of ΔABC.

Also, it is known that the sum of the lengths of any two sides of a triangle is greater than the third side.

Hence, it is not true that.