Question

if a vector A lies in fourth quadrant makes an angle of 60 degree with y axis its direaction is given by
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Answer 1

We find its magnitude using the Pythagorean Theorem or the distance formula, and we find its direction using the inverse tangent function. Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. Angles can be reported going counterclockwise or clockwise around the unit circult. If you report your angle as the angle below, or clockwise from the +x axis, then you must report it as a negative angle. For example, 270° is the same as -90°.  The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side. When the angle is between and , the angle is a third quadrant angle. Direction Angles of Vectors

Step 1: Identify the values for a and b and calculate θ. ...

Step 2: Determine the Quadrant the vector lies in. ...

Step 3: Make any necessary adjustments to find the directional angle θ from the positive x-axis. ...

Step 1: Simplify vector v using scalar multiplication. ...

Step 2: Identify the values for a and b and calculate θ.