// Angle between two vectors, useful for rotationfloatDirection::Angle_Distance(constDirection& direction)const{if(!(Get_X_Angle() == direction.Get_X_Angle() && Get_Y_Angle() == direction.Get_Y_Angle() &&Get_Distance() == direction.Get_Distance())) {return(float)(acos(Dot(direction)...
// got is the one of the two possible candidates. // That's because the result of function arcsin() // is limited between [-PI/2, PI/2], but actually // we always measure the angle between two vectors // between [-2*PI, 2*PI](negative angle means a // reverse result vector)...
Vector addition of two vectors can be done by following the laws of vector addition like triangle law of vector addition, parallelogram law of vector addition, etc. If two vectors are given in the form of unit vectors, then the resultant ve...
A Vector is something that has two and only two defining characteristics. Magnitude Direction Trait #1) Magnitude Magnitudeis "how large' something is . In the diagrams 1 and 2, you can see vectors that have magnitudes of 4 and of 5. ...
Vector direction can be represented in various ways, such as using angles, compass directions, or unit vectors. Unit vectors, also known as normalized vectors, have a magnitude of 1 and are commonly used to represent direction. What is the relationship between vector magnitude and scalar multiplic...
To add two (or more) vectors together graphically using the head-to-tail method you simply draw the first vector anywhere you wish, then draw the second vector with its tail at the head of the first vector. If there are more vectors to be added draw each one with its tail at the hea...
Thus, the direction of g(r) is the real vertical (a line perpendicular to the horizontal surface) at r and the direction of γ(r) is the normal vertical at r: the deflection of the vertical is really the angle between the actual and normal vertical directions. We note that the actual...
aThe stresses on two planes having their normal vectors in the x-direction and the y-direction, which make an angle α with the directions of the major and the minor principal stresses, can be expressed into the major and the minor principal stresses by means of the equations of equilibrium...
We calculate the direction-direction correlations between the tangent vectors of an oriented self-avoiding walk (SAW). Let J μ ( x ) and J v (0) be components of unit-length tangent vectors of an oriented SAW, at the spatial points x and 0, respectively. Then for distances | x | ...
Find the following for the vectors v=-9i+j and u=-5i+\sqrt{3}j. a. v\cdotp u, |v|, and |u| b. b. the cosine of the angle between v and u c. the scaler component of u in the direction of v d. the vector proj_{v}...