Question

Magnitude of component of a vector along positive
x-axis is 2 unit and that along the line y = √3x is
1 unit. Then the magnitude of the vector is​

Answer 1

Answer:

Let vector is x i + y j

a/q x = 2

now unit vector along y=√3 x is

$\frac{1}{2} i + \frac{ \sqrt{3} }{2} j$

so

$(2i + y \: j).( \frac{1}{2} i + \frac{ \sqrt{3} }{2} j) = 1 \\ 1 + \frac{ \sqrt{3} }{2} y = 1 \\ y = 0$

so vector is 2i

it's magnitude is 2

ans.

Answer 2

Answer:

$\sqrt{ {2 } ^{2 + \sqrt{3x }^{2} } } \\ \sqrt{4 + 3 {x}^{2} }$