If and are two equal vectors, then write the value of x + y + z.

Given: and are two equal vectors.

To find: value of x + y + z …(i)

According to question,

Comparing both the sides, we get

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

⇒ x = 3, y = -2 and z = -1

Putting the value of x, y and z in eq. (i), we get

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

= 3 – 2 – 1

= 0

Hence, the value of x + y + z is 0