Question

the maximum resultant of two vectors is 26 unit and minimum resultant is 16 unit then find the magnitude of each vector

Answer 1

Suppose one vector is A(vector) and another is B(vector).

Now, Maximum Resultant = 26

So, A + B = 26..........equation 1.

And, Minimum Resultant = 16

So, A - B = 16.........equation 2.

On adding equation 1 and equation 2....=>

A + B = 26
A - B = 16
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2A = 42

A = 21.

On putting value of A in equation 1.....

A + B = 26

21 + B = 26

So, B = 5.

Thus, Magnitude of A(vector) = 21.

And Magnitude of B(vector) = 5.

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Hope it was helpful.