00:01
Hi, the question says that find the unit vector in the direction vector w equal to 5 .2.
00:08
Only the position of the vector is given.
00:12
So we have to first represent the vector, clear? so first we will write down the given information.
00:19
Suppose w is a vector and the position is given 5 .2.
00:25
That means in x y plane the vector is present, right? so, what will be the vector representation? so, w vector is equal to 5 i -cap and plus to j -cap, where i -cap and j -cap are the unit vectors along x -direction, positive x direction and positive y direction, right? so, what will be the unit vector of this direction vector? now what is unit vector? unit vector is a vector that has the magnitude 1.
00:59
So, first noted down that what is unit vector? unite vector is such a vector having magnitude of unity or having magnitude 1 and it determines the direction of any vector.
01:17
Okay.
01:17
So now how to find out the unit vector of these direction vector see? so, w vector can also be written as or represent as its magnitude by its magnitude that is w vector within mod and with its unit vector.
01:37
So, magnitude and unit vector as we know, vector has magnitude as well as the direction.
01:44
So magnitude is this one and direction is n -cap.
01:48
N -cap is equal to w -vector by the magnitude of the direction of the direction.
01:53
V vector that is the modulus.
01:56
Now, w vector already we have written 5 i cap plus 2 j caps...