Question

Calculate the scalar projection and projection of (5,3) onto (7,-2)

Answer 1

cant recall the def of a "scalar projection" to clearly tho

Answer 2

essentially you take the unit of v (the onto vector) and multiply it by the |u| cos(a), where a is the angle between them

Answer 3

Ok, so how would you calculate it through the coordinates they gave me?

Answer 4

\[cos(\alpha)=\frac{u\cdot v}{|u|~|v|}\]
\[|u|~cos(\alpha)=\cancel{|u|}\frac{u\cdot v}{\cancel{|u|}~|v|}=|proj_uV|\]

Answer 5

u = (5,3) ; length of u
v = (7,-2) ; length of v
---------
dot them

we will need to find these properties in order to plug them into the formula

Answer 6

hmmm, from the google i get that |u| cos(a) is defined as the SCALAR projection, the magnitude of proj_u V