Answer :
Let A and B be the two given vectors
Ɵ = 150° is the angle between A and B
If C is the resultant vector, then:
...1
Also, it is given that the resultant is perpendicular to one of the given vectors. Let that given vector be A
Now, …2
Putting 2 in 1, we get:
Now, putting c = 10, Ɵ = 150° ()
So,
Hence, smaller vector is A = 20 units
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