Find the values of x, y and z so that the vectors  5i ̂-3 j ̂+ 7k ̂ and x i ̂+y j ̂+ z k ̂ are equal.  ̂

x = 5, y=3, z =7 x = -5, y=-3, z =7 x = 5, y=-3, z =-7 x = 5, y=-3, z =7

x = 5, y=-3, z =7

We know that the two vectors are called equal vectors if their corresponding elements are equal so the vector 5i ̂-3 j ̂+ 7k ̂ and x i ̂+y j ̂+ z k ̂  will be equal if x = 5, y=-3, z =7.