Question

A=I-J what is angle between the vector and X axis

Answer 1

5 answers · Physics

Best Answer

Hey,

i^ and j^ are unit vectors along the x and the y axes respectively. The coefficient of each component sets the magnitude of the vector in each direction. Now if you see an i^ + j^, it implies that the vector has unit component along both x and y axes.

Any line that has the same magnitude in both directions will always have slope = 1. That means that the angle it makes with the x-axis is 45, since tan45=1

let it be 1 i^ and 1 j^

tan a = y/x

tan a = 1

so a = 45 degrees

I hope this helps you.

Answer 2

Given that,

Vector A, $A=i-j$

To find,

Angle between the vector and x axis.

Solution,

$A=i-j$

Let $\theta$ is the angle between the vector and x-axis. It is given by :

$\tan \theta=\dfrac{y}{x}\\\\\tan \theta=\dfrac{1}{1}\\\\\theta=45^{\circ}$

So, the angle between the vector A and x-axis is 45 degrees.

Learn more,

Vectors

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