If b=0, then the first term is infinite, so the calculation defaults to the value b=1 if no value of b is entered in order to avoid this condition for an infinity. Any set of values for which a=bd will also give an infinity, as can be seen from the expression for x above. . OUT NOW ON STEAM AND GOG. Fear Equation is a horror strategy game from the. Apply the equation. To find the magnitude, which is 1.4. Apply the equation theta = tan –1 (y/x) to find the angle: tan –1 (1.0/–1.0) = –45 degrees. However, note that the angle must really be between 90 degrees and 180 degrees because the first vector component is negative and the second is positive. That means you should add 180.
If you’re given the vector components, such as (3, 4), you can convert it easily to the magnitude/angle way of expressing vectors using trigonometry.
Proof That 1 Equals 0
For example, take a look at the vector in the image.
Suppose that you’re given the coordinates of the end of the vector and want to find its magnitude, v, and angle, theta. Because of your knowledge of trigonometry, you know
Where tan thetais the tangent of the angle. This means that
theta = tan–1(y/x)
Suppose that the coordinates of the vector are (3, 4). You can find the angle theta as the tan–1(4/3) = 53 degrees.
You can use the Pythagorean theorem to find the hypotenuse — the magnitude, v — of the triangle formed by x, y, and v:
Apply the equation theta = tan–1(y/x) to find the angle: tan–1(7.0/5.0) = 54 degrees.
Magnitude 18.4, angle 45 degrees
Apply the equation
to find the magnitude, which is 18.4.
Apply the equation theta = tan–1(y/x) to find the angle: tan–1(13.0/13.0) = 45 degrees.
Magnitude 1.4, angle 135 degrees
Apply the equation
to find the magnitude, which is 1.4.
Apply the equation theta = tan–1(y/x) to find the angle: tan–1(1.0/–1.0) = –45 degrees.
However, note that the angle must really be between 90 degrees and 180 degrees because the first vector component is negative and the second is positive. That means you should add 180 degrees to –45 degrees, giving you 135 degrees (the tangent of 135 degrees is also 1.0/–1.0 = –1.0).
Magnitude 8.6, angle 234 degrees
Apply the equation
to find the magnitude, which is 8.6.
Apply the equation theta = tan–1(y/x) to find the angle: tan–1(–7.0/–5.0) = 54 degrees.
However, note that the angle must really be between 180 degrees and 270 degrees because both vector components are negative. That means you should add 180 degrees to 54 degrees, giving you 234 degrees (the tangent of 234 degrees is also –7.0/–5.0 = 7.0/5.0).