Question

Let u and v be 3-dimensional vectors, where specifically u=343 and v=315 what is u^tvu t v?

Answer 1

Given: u and v be 3-dimensional vectors.

To find: The value of u^T v

Solution:

• Now we have given u and v be 3-dimensional vectors.

                  u = [ 3   4   3 ]

                  v = [ 3   1    5 ]

• Now :

                  u^T = $\left[\begin{array}{ccc}3\\4\\3\end{array}\right]$

• So the order of u^T is 3 x 1 and v is 1 x 3

• So the resultant matrix will be of order 3 x 3.

                  u^T v = $\left[\begin{array}{ccc}3\\4\\3\end{array}\right]$  x [ 3   1    5 ]

                  u^T v = $\left[\begin{array}{ccc}9&3&15\\12&4&20\\9&3&15\end{array}\right]$

Answer:

              So the value of  u^T v is $\left[\begin{array}{ccc}9&3&15\\12&4&20\\9&3&15\end{array}\right]$