Question

Hello, please help me with this Question B within this question :)

Answer 1

Given:

There are three vectors given as

`\begin{gathered} u=(2,3) \\ v=(0,1) \\ w=(4,3) \end{gathered}`

Required:

We want to find c if u+cw is orthgonal to u

Step-by-step explanation:

Orthogonal property is dot product of orthogonal vectors is zero

`\begin{gathered} u.(u+cw)=0 \\ (2,3).((2,3)+(4c,3c))=0 \\ (2,3)(2+4c,3+3c)=0 \\ 4+4c+9+9c=0 \\ c=-1 \end{gathered}`

Final answer:

c = - 1