Given the vectors a 3i 4j b 2i 5j c 10i j d 13 i 52

Given the vectors, a = 3i + 4j, b = -2i + 5j, c = 10i - j, d = -1/3 i + 5/2 j, find: a + b = ? a + b = 1i + 9j a + b = 5i + 9j a + b = 8i + 6j a + b = 8i + 2j

Solution

Given vectors are,
a=3i+4j,
b=-2i+5j.
So the sum of vectors is
a+b=(3i+4j)+(-2i+5j)

=(3i-2i)+(4j+5j)

a+b=1i+9j.
Hence option (1) is correct.