-Easily Understandable: A unit should be simple and not complex, allowing everyone to grasp its meaning and application without difficulty. -Globally Accepted: The unit should be uniform and recognized worldwide. For example, the unit of length is the meter, which is accepted in both India and...
Two vectors→Pand→Qare inclined to each other at angleθ. Which of the following is the unit vector perpendicular to→Pand→Q? View Solution If two vectors are given as→a=ˆi−ˆj+2ˆkand→b=ˆi+2ˆj+ˆk, the unit vector perpendicular to both vec a and vec b is ...
Vector Projection Formula The vector projection formula for w onto v is {eq}proj_vw = \frac {v \cdot w}{|v|} \times \frac v {|v|} {/eq}. The {eq}\frac v {|v|} {/eq} part of the formula is the unit vector of v, which is a vector of length 1 in the direction of...
This looks like a rather strange system; but it is three vector equations (3), (4), (5) in four vector (or one-form) unknowns , together with a divergence-free condition (6) and a positive definiteness condition (7), which I view as basically being scalar conditions. Thus, this ...
As you might have guessed, the scalar (absolute value) magnitude of the velocity vector is thespeedof motion. Incalculusterms, velocity is the first derivative of position with respect to time. You can calculate velocity by using a simple formula that includes rate, distance, and time. ...
In mathematics, there are many symbols which denote the nature of quantity or its equality when two quantities are compared. For example. '^' on the top of a variable represents that it is a unit vector with unit magnitude. {eq}\displaystyle |\hat{a}|=1 {/eq}. {eq}\displaystyle \...
The first observation is that every unit quaternion induces a unit tangent vector on the unit sphere , located at ; the third unit vector is then another tangent vector orthogonal to the first two (and oriented to the left of the original tangent vector), and can be viewed as the cross ...
What is the difference between Brownian motion and diffusion? Define/explain the following term and give an example and non-example. Vector space Give an example of weak equivalence which is not a homotopy equivalence. Define unit square.
Calculating an instantaneous speed or velocity requires the use of a mathematical limit formula that specifies time approaching zero. A limit formula is used in calculus to determine the derivative of a function -- in this case, distance or displacement as it relates to time. Because of the com...
Calculus Function Line integral Mean Potential Terms Vector Vector calculus In summary: V represents is only non-zero when we move from one constant surface to a different one. Line integrals are usually used to determine work. If V is a gravitational field, for example, then these surfaces wo...