yes, the slope of the line is the tangent of the angle
Yes.
The dot-product of two vectors tells about the angle between them. If the dot-product is positive, then the angle between the two vectors is between 0 and 90 degrees. When the dot-product is negative, the angle is more than 90 degrees. Therefore, the dot-product can be any value (positive, negative, or zero). For example, the dot product of the vectors and is -1*1+1*0+1*0 = -1 which is negative.
An angle is positive when it is measured in a counter-clockwise direction. It is negative when it is measured in a clock-wise direction.
Yes. Angles may be measured from the direction of the positive horizontal axis and, clockwise is negative, anticlockwise is positive.
In the Cartesian plane, an angle is measured in the anti-clockwise direction from the x-axis. A negative angle is measured in the clockwise direction from the x-axis. However, an angle is effectively the same if you add or subtract 360 degrees. So, if you are faced with a negative angle just keep adding 360 degrees until you have a positive value.
Yes.
The clear difference between positive and negative rake angles is that for the positive rake angle,the leading edge of the cutting tool is behind the perpendicular of the material to be cut.While the tool leading edge is ahead or beyond the perpendicular for the negative rake angle.
Yes, there a relationship between the sign (positive or negative) of the slope of a line and the angle the line makes with the x-axisWhen a line slopes up from left to right, it has a positive slope. This means that a positive change in y is associated with a positive change in x. The steeper the slope the greater the rate of change in y in relation to the change in x.When a line slopes down from left to right, it has a negative slope. This means that a negative change in y is associated with a positive change in x.
positive and negative angles of 87 degrees
The cosine function is an even function which means that cos(-x) = cos(x). So, if cos of an angle is positive, then the cos of the negative of that angle is positive and if cos of an angle is negative, then the cos of the negative of that angle is negaitive.
The line has a negative slope (or negative gradient).When the angle between the line and the positive direction of Ox is obtuse then the slope is negative. Conversely, when the angle is acute, the slope is positive.
Angle of attack may be negative or positive - it's simply the angle between the wing chord line and the oncoming airflow. If it's positive then the aircraft will benefit from the lift that is provided, if it's negative then there is no lift (but there's still drag). This is a potentially dangerous situation, unless you wish your aircraft to descend.
Essentially, none. Every negative angle can be made positive by adding 2*pi radians (or 360 degrees, or a multiple).
If the angle between the displacement and force applied is less than a right angle, then it is Positive Work done. If the angle between the displacement and the force applied is greater than a right angle then it is Negative Work done. If the displacement and force are at right angles, or either is zero, then it is Zero Work done.
The dot-product of two vectors tells about the angle between them. If the dot-product is positive, then the angle between the two vectors is between 0 and 90 degrees. When the dot-product is negative, the angle is more than 90 degrees. Therefore, the dot-product can be any value (positive, negative, or zero). For example, the dot product of the vectors and is -1*1+1*0+1*0 = -1 which is negative.
To find the complement of a negative angle, you first need to determine its positive equivalent by adding 360 degrees to the negative angle. Once you have the positive angle, you can then find its complement by subtracting the angle from 90 degrees. This will give you the complement of the negative angle in the range of 0 to 90 degrees.
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