Question

If vector a = xi + 2j - zk and vector b = 3i - yj + k are two equal vectors then x + y + z = ?

Answer 1

It is given that

Here two vectors are equal so by comparing them

x = 3, – y = 2, – z = 1

We get

x = 3, y = -2, z = -1

On further calculation

x + y + z = 3 + (-2) + (-1)

= 3 – 2 – 1 = 0

Therefore, x + y + z = 0