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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