Using a specific example, prove the vector property: For vectors u⃗ and v⃗ and scalar p > 1, show p(u⃗ +v⃗ )=pu⃗ +pv⃗ . It works for all p-values, but I am asking you to narrow your examples to a semi-specific example.

Question

(the box next to the letter means its a vector)

Answer 1

let u=i + 3j
v= 4i + j
let p=10

p((u⃗ +v⃗ ) =?= pu⃗ +pv⃗
10(i+3j+4i+j)=?=10i+30j+40i+10j
10(5i+4j)=?=50i+40j
50i+40j does = 50i+40j

Answer 2

thanks