Question

If u=2i+3j+4, v=-i+3j-k and w=i+6j+zk represents the sides of a triangle. Find the value of z.

Answer 1

Answer:

Step-by-step explanation:

For u,v and w to be the sides of triangle,

One of them must be the resultant of the other two vectors. [Triangle Law]

We clearly see that,

w = u + v

∴ i+6j+zk = 2i+3j+4k-i+3j-k

∴ z = 3