Question

a vector=4i cap-3j cap and bvector=6icap+8jcap then magnotude and direction if a vector+b vector

Answer 1

a + b = 10i + 5j

magnitute:-
$\sqrt{ {10}^{2} + {5}^{2} }$
=
$\sqrt{125}$
=
$5\sqrt{5}$

Finding direction =
(a+b).(x axis vector)= |a+b||x| cos A
= (10i+ 5j). ( 1i + 0j) = $5 \sqrt{5} \times 1$ x cosA
u can proceed further