Question

i) <3, 7> + <10, 4>

Explanation:

Step1: Add corresponding components

For vectors $\langle a,b
angle+\langle c,d
angle=\langle a + c,b + d
angle$. Here $a = 3$, $b = 7$, $c=10$, $d = 4$.
$\langle3,7
angle+\langle10,4
angle=\langle3 + 10,7+4
angle$

Step2: Calculate the sums

$3+10=13$ and $7 + 4=11$.
$\langle3 + 10,7+4
angle=\langle13,11
angle$

Answer:

$\langle13,11
angle$