1.

Two vectors `vecA` and `vecB` have magnitude in the ratio `1:2` respectively. Their difference vector has as magnitude of 10 units, and the angle between `vecA & vecB` is `120^(@)` . The magnitude of `vecA and vecB` are :A. `(5)/(sqrt(7)) , (10)/(sqrt(7))`B. `(5)/(sqrt(3)) , (10)/(sqrt(3))`C. `(10)/(sqrt(7)) , (20)/(sqrt(7))`D. `(10)/(sqrt(3)) , (20)/(sqrt(3))`

Answer» Correct Answer - C
Two vectors ………….
`x_(1) 2x`
`sqrt(x^(2)+(2x)^(2)-2(x)(2x)cos(120)) = 10`
`sqrt(5x^(2)+2x^(2)) = 10`
`sqrt((100)/(7) = x`
`|vecA| = (10)/(sqrt(7)) : |vecB| = (20)/(sqrt(7))`


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