Question

find both resultunt and magnitude of s1 = -2i +3j and s2= 3i - 2j

Answer 1

To find the resultant vector of s1 = -2i +3j and s2= 3i - 2j, we simply add s1 and s2:

s1 + s2 = (-2i + 3j) + (3i - 2j)

= -2i + 3j + 3i - 2j

= ( -2i + 3i ) + ( 3j - 2j )

= i + j

So, the resultant vector is i + j.

To find the magnitude of the resultant vector, we can use the Pythagorean theorem:

Magnitude = √( (x-component)^2 + (y-component)^2 )

Magnitude = √( (1)^2 + (1)^2 )

Magnitude = √(2)

Magnitude ≈ 1.414