Question

A=3i+4j and B =i-j , are two vector in x-y plane. Find the magnitude of the sum of these two vectors.

Answer 1

A = 3i + 4j
B = i - j

Then, sum of these two vector = (A + B)
(A + B ) = (3i + 4j) + (i - j)
= (3i + i) + (4j - j)
= 4i + 3j
e.g (A + B) = 4i + 3j

Now, magnitude of ( A + B) = |4i + 3j|
= √{4² + 3²} = √(16 + 9) = 5

Hence, answer is 5