You need to know that the cross product of two vectors is a vector perpendicular to both vectors. It is defined only in 3 space. The formula to find the cross product of vector a (vector a=[a1,a2,a3]) and vector b (vector b=[b1,b2,b3]) is: vector a x vector b = [a2b3-a3b2,a3b1-a1b3,a1b2-a2b1]
Hence the reason for why it is called Vector Calculus, Vector Calc. is simply an expansion in the calculus subject are in math. It deals with Taylor's Formula (in calc 2 you learn the taylor polynomial and the taylor series), theorems from Green, Gauss, and Stokes, and much more.
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
Resultant vector or effective vector
The formula for Torque is FxD where F is the Force vector and D is the displacement vector. Energy is in general a Quaternion, the sum of a scalar and a vector .
The formula for velocity is ds/dt where s (which is a function of time) is the position vector of the object at time t, and d/dt represents the derivative with regard to time.The formula for average velocity is (final position vector - starting position vector)/time.
You need to know that the cross product of two vectors is a vector perpendicular to both vectors. It is defined only in 3 space. The formula to find the cross product of vector a (vector a=[a1,a2,a3]) and vector b (vector b=[b1,b2,b3]) is: vector a x vector b = [a2b3-a3b2,a3b1-a1b3,a1b2-a2b1]
The units are KgMs- why? Velocity is a vector Quantity and mass is a scalar quantity.
Tan@ y/x; @=atan (y/x)
The units are KgMs- why? Velocity is a vector Quantity and mass is a scalar quantity.
The total force is the vector sum of the individual forces.
The net force on an object is simply the vector sum of all forces that act on an object. For more information, do some reading about "vector sum".
velocity is a vector quantity. Its magnitude is given by (velocity)= (distance)/(time)
Resultant Force = (Force1) + (Force2) + (Force3)where each term in the formula is a Vector.
Velocity is a vector.Its magnitude is called 'speed'.
To calculate the magnitude of the resultant vector, you can use the Pythagorean theorem. Square the x-component of the vector, square the y-component of the vector, and sum them together. Finally, take the square root of the resulting sum. The formula is: |R| = sqrt((Rx^2) + (Ry^2)).