Question

A vector is represented by 3î + i + 2 K . Its length in XY plane is​

Answer 1

Answer:

I think it's length is 3

Explanation:

since the vector is in XY plane then it needs to be in x-axis and y-axis

unit vectors cap is given with only i so it might be 3

Answer 2

The length of a vector is nothing but it's magnitude.

Explanation:

the given vector has components of 3,1 respectively in the x and y directions. to determine its length we require it's projection in the x-y plane. for this the x and y components should be sufficient.

it's magnitude or length in a given plan is determined by

          $\sqrt{x^{2}+y^{2} }$

where x and y denote the x and y components respectively.

plugging in the values, the output obtained is

$\sqrt{3^{2}+1^{2} }$ = 3.1622