Question

if v is the unit vector,the projection of u on v is
​

Answer 1

intial velocity =u

and

final velocity=v

Answer 2

In mathematics, the projection of a vector u onto a unit vector v is a scalar quantity that represents the component of u in the direction of v.

As per the question given,

When v is a unit vector, its magnitude is equal to 1, and thus the projection of u on v is simply the dot product of u and v. This dot product results in a scalar quantity that represents the length of the projection of u onto v.

Geometrically, this can be visualized as the shadow of u when cast onto the line that passes through the origin in the direction of v. The projection of u on v is a useful tool in various fields of mathematics and physics and can be used to simplify complex calculations involving vectors.

proj_v(u) = (u.v) * v

where u is the vector being projected and v is the unit vector onto which u is being projected.

For such more questions on Vector

https://brainly.com/question/28047791

#SPJ2