Note: Every engineering student must have a hand calculator. If you don't have it, show the steps of getting an answer. Do not get a copy from anyone. Find the projection vector r_(21) of r_(2)=4i+2j-4k on r_(1)=14i+2j-3k vector direction. Answer: (} 4 2 -4 )=(

Question

Answer 1

To find the projection vector

of

on

, we can use the formula:

where

is the dot product of

and

, and

is the magnitude of

.First, let's calculate the dot product of

and

:

Next, let's calculate the magnitude of

:

Now, we can substitute these values into the formula for

:

To simplify this expression, we can multiply both sides by

:

Therefore, the projection vector

of

on

is

.

Soru