Q. 74.0( 2 Votes )

Find the angle between the vectors with direction ratios proportional to 2,3,–6 and 3,–4,5.

Answer :

Let us assume the direction ratios of vectors be (r1,r2,r3) and (r4,r5,r6).


Then,


(r1,r2,r3) = (2,3,–6)


(r4,r5,r6) = (3,–4,5)


We know that the angle between the vectors with direction ratios proportional to (a1,b1,c1) and (a2,b2,c2) is given by:



Using the above formula we calculate the angle between the vectors.


Let be the angle between the two vectors given in the problem.








The angle between two given vectors is .


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