Linear Algebra Find the value of k for which the vectors 241

Linear Algebra

Find the value of k for which the vectors [24-15] and [1-15k] are orthogonal.

Solution

Find the dot product of two vectors and equate it to zero.

Matlab Code:

clc
clear
syms k dp
v1 = [2 4 -1 5];
v2 = [1 -1 5 k];
dp = dot(v1, v2)

Ans for dot product of two vectors dp =

5*k - 7

Now solve 5*k-7=0,

Answer is k=7/5